λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,722,130

57,722,130

2 × 32 × 5 × 179 × 3583
Abundant Even Composite

57,722,130 factors as 2 × 3^2 × 5 × 179 × 3583. Its 48 positive divisors give a proper-divisor sum of 93,235,950, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 179 × 3583
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 150,958,080
Proper Divisor Sum 93,235,950
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #57722129 ← → #57722143

Radix Representation

Decimal 57722130
Binary 11011100001100010100010010 (26 bits)
Octal 0o334142422
Hexadecimal 0x370C512

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1,074 1,611 1,790 2,685 3,222 3,583 5,370 7,166 8,055 10,749 16,110 17,915 21,498 32,247 35,830 53,745 64,494 107,490 161,235 322,470 641,357 1,282,714 1,924,071 3,206,785 3,848,142 5,772,213 6,413,570 9,620,355 11,544,426 19,240,710 28,861,065 57,722,130

Collatz Trajectory (238 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

57,722,130 28,861,065 86,583,196 43,291,598 21,645,799 64,937,398 32,468,699 97,406,098 48,703,049 146,109,148 73,054,574 36,527,287 109,581,862 54,790,931 164,372,794 82,186,397 246,559,192 123,279,596 61,639,798 30,819,899 92,459,698 46,229,849 138,689,548 69,344,774 34,672,387 104,017,162 52,008,581 156,025,744 78,012,872 39,006,436 19,503,218 9,751,609 29,254,828 14,627,414 7,313,707 21,941,122 10,970,561 32,911,684 16,455,842 8,227,921 24,683,764 12,341,882 6,170,941 18,512,824 9,256,412 4,628,206 2,314,103 6,942,310 3,471,155 10,413,466 5,206,733 15,620,200 7,810,100 3,905,050 1,952,525 5,857,576 2,928,788 1,464,394 732,197 2,196,592

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #57,722,129 Browse Full Index Next Integer #57,722,131 →