57,742,578

2 × 3³ × 1069307

57,742,578 factors as 2 × 3^3 × 1069307. Its 16 positive divisors give a proper-divisor sum of 70,574,382, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 1069307

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 128,316,960

Proper Divisor Sum 70,574,382

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #57742571 ← → #57742621

Radix Representation

Decimal	57742578
Binary	11011100010001010011110010 (26 bits)
Octal	0o334212362
Hexadecimal	0x37114F2

Divisor Catalog (16)

1 2 3 6 9 18 27 54 1,069,307 2,138,614 3,207,921 6,415,842 9,623,763 19,247,526 28,871,289 57,742,578

Collatz Trajectory (145 steps to reach 1)

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

57,742,578 28,871,289 86,613,868 43,306,934 21,653,467 64,960,402 32,480,201 97,440,604 48,720,302 24,360,151 73,080,454 36,540,227 109,620,682 54,810,341 164,431,024 82,215,512 41,107,756 20,553,878 10,276,939 30,830,818 15,415,409 46,246,228 23,123,114 11,561,557 34,684,672 17,342,336 8,671,168 4,335,584 2,167,792 1,083,896 541,948 270,974 135,487 406,462 203,231 609,694 304,847 914,542 457,271 1,371,814 685,907 2,057,722 1,028,861 3,086,584 1,543,292 771,646 385,823 1,157,470 578,735 1,736,206 868,103 2,604,310 1,302,155 3,906,466 1,953,233 5,859,700 2,929,850 1,464,925 4,394,776 2,197,388

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #57,742,577 Browse Full Index Next Integer #57,742,579 →