31,537,840

2⁴ × 5 × 394223

31,537,840 factors as 2^4 × 5 × 394223. Its 20 positive divisors give a proper-divisor sum of 41,787,824, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 394223

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 73,325,664

Proper Divisor Sum 41,787,824

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #31537837 ← → #31537843

Radix Representation

Decimal	31537840
Binary	1111000010011101010110000 (25 bits)
Octal	0o170235260
Hexadecimal	0x1E13AB0

Divisor Catalog (20)

Collatz Trajectory (188 steps to reach 1)

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

31,537,840 15,768,920 7,884,460 3,942,230 1,971,115 5,913,346 2,956,673 8,870,020 4,435,010 2,217,505 6,652,516 3,326,258 1,663,129 4,989,388 2,494,694 1,247,347 3,742,042 1,871,021 5,613,064 2,806,532 1,403,266 701,633 2,104,900 1,052,450 526,225 1,578,676 789,338 394,669 1,184,008 592,004 296,002 148,001 444,004 222,002 111,001 333,004 166,502 83,251 249,754 124,877 374,632 187,316 93,658 46,829 140,488 70,244 35,122 17,561 52,684 26,342 13,171 39,514 19,757 59,272 29,636 14,818 7,409 22,228 11,114 5,557

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #31,537,839 Browse Full Index Next Integer #31,537,841 →