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Atlas › Integer Profiles › Node 31,396,552

31,396,552

23 × 11 × 17 × 31 × 677
Abundant Even Composite

31,396,552 factors as 2^3 × 11 × 17 × 31 × 677. Its 64 positive divisors give a proper-divisor sum of 38,898,488, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 17 × 31 × 677
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 70,295,040
Proper Divisor Sum 38,898,488
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #31396549 ← → #31396553

Radix Representation

Decimal 31396552
Binary 1110111110001001011001000 (25 bits)
Octal 0o167611310
Hexadecimal 0x1DF12C8

Divisor Catalog (60 of 64)

1 2 4 8 11 17 22 31 34 44 62 68 88 124 136 187 248 341 374 527 677 682 748 1,054 1,354 1,364 1,496 2,108 2,708 2,728 4,216 5,416 5,797 7,447 11,509 11,594 14,894 20,987 23,018 23,188 29,788 41,974 46,036 46,376 59,576 83,948 92,072 126,599 167,896 230,857 253,198 356,779 461,714 506,396 713,558 923,428 1,012,792 1,427,116 1,846,856 2,854,232

Collatz Trajectory (263 steps to reach 1)

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

31,396,552 15,698,276 7,849,138 3,924,569 11,773,708 5,886,854 2,943,427 8,830,282 4,415,141 13,245,424 6,622,712 3,311,356 1,655,678 827,839 2,483,518 1,241,759 3,725,278 1,862,639 5,587,918 2,793,959 8,381,878 4,190,939 12,572,818 6,286,409 18,859,228 9,429,614 4,714,807 14,144,422 7,072,211 21,216,634 10,608,317 31,824,952 15,912,476 7,956,238 3,978,119 11,934,358 5,967,179 17,901,538 8,950,769 26,852,308 13,426,154 6,713,077 20,139,232 10,069,616 5,034,808 2,517,404 1,258,702 629,351 1,888,054 944,027 2,832,082 1,416,041 4,248,124 2,124,062 1,062,031 3,186,094 1,593,047 4,779,142 2,389,571 7,168,714

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