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Atlas › Integer Profiles › Node 31,335,152

31,335,152

24 × 37 × 41 × 1291
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 37 × 41 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 63,922,992
Proper Divisor Sum 32,587,840
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #31335121 ← → #31335169

Radix Representation

Decimal 31335152
Binary 1110111100010001011110000 (25 bits)
Octal 0o167421360
Hexadecimal 0x1DE22F0

Divisor Catalog (40)

1 2 4 8 16 37 41 74 82 148 164 296 328 592 656 1,291 1,517 2,582 3,034 5,164 6,068 10,328 12,136 20,656 24,272 47,767 52,931 95,534 105,862 191,068 211,724 382,136 423,448 764,272 846,896 1,958,447 3,916,894 7,833,788 15,667,576 31,335,152

Collatz Trajectory (294 steps to reach 1)

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

31,335,152 15,667,576 7,833,788 3,916,894 1,958,447 5,875,342 2,937,671 8,813,014 4,406,507 13,219,522 6,609,761 19,829,284 9,914,642 4,957,321 14,871,964 7,435,982 3,717,991 11,153,974 5,576,987 16,730,962 8,365,481 25,096,444 12,548,222 6,274,111 18,822,334 9,411,167 28,233,502 14,116,751 42,350,254 21,175,127 63,525,382 31,762,691 95,288,074 47,644,037 142,932,112 71,466,056 35,733,028 17,866,514 8,933,257 26,799,772 13,399,886 6,699,943 20,099,830 10,049,915 30,149,746 15,074,873 45,224,620 22,612,310 11,306,155 33,918,466 16,959,233 50,877,700 25,438,850 12,719,425 38,158,276 19,079,138 9,539,569 28,618,708 14,309,354 7,154,677

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