λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,997,682

31,997,682

2 × 32 × 179 × 9931
Abundant Even Composite

31,997,682 factors as 2 × 3^2 × 179 × 9931. Its 24 positive divisors give a proper-divisor sum of 37,724,958, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 179 × 9931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 69,722,640
Proper Divisor Sum 37,724,958
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #31997627 ← → #31997683

Radix Representation

Decimal 31997682
Binary 1111010000011111011110010 (25 bits)
Octal 0o172037362
Hexadecimal 0x1E83EF2

Divisor Catalog (24)

1 2 3 6 9 18 179 358 537 1,074 1,611 3,222 9,931 19,862 29,793 59,586 89,379 178,758 1,777,649 3,555,298 5,332,947 10,665,894 15,998,841 31,997,682

Collatz Trajectory (144 steps to reach 1)

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

31,997,682 15,998,841 47,996,524 23,998,262 11,999,131 35,997,394 17,998,697 53,996,092 26,998,046 13,499,023 40,497,070 20,248,535 60,745,606 30,372,803 91,118,410 45,559,205 136,677,616 68,338,808 34,169,404 17,084,702 8,542,351 25,627,054 12,813,527 38,440,582 19,220,291 57,660,874 28,830,437 86,491,312 43,245,656 21,622,828 10,811,414 5,405,707 16,217,122 8,108,561 24,325,684 12,162,842 6,081,421 18,244,264 9,122,132 4,561,066 2,280,533 6,841,600 3,420,800 1,710,400 855,200 427,600 213,800 106,900 53,450 26,725 80,176 40,088 20,044 10,022 5,011 15,034 7,517 22,552 11,276 5,638

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #31,997,681 Browse Full Index Next Integer #31,997,683 →