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Atlas › Integer Profiles › Node 31,366,904

31,366,904

23 × 172 × 13567
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 17^2 × 13567
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 62,480,640
Proper Divisor Sum 31,113,736
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #31366903 ← → #31366919

Radix Representation

Decimal 31366904
Binary 1110111101001111011111000 (25 bits)
Octal 0o167517370
Hexadecimal 0x1DE9EF8

Divisor Catalog (24)

1 2 4 8 17 34 68 136 289 578 1,156 2,312 13,567 27,134 54,268 108,536 230,639 461,278 922,556 1,845,112 3,920,863 7,841,726 15,683,452 31,366,904

Collatz Trajectory (219 steps to reach 1)

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

31,366,904 15,683,452 7,841,726 3,920,863 11,762,590 5,881,295 17,643,886 8,821,943 26,465,830 13,232,915 39,698,746 19,849,373 59,548,120 29,774,060 14,887,030 7,443,515 22,330,546 11,165,273 33,495,820 16,747,910 8,373,955 25,121,866 12,560,933 37,682,800 18,841,400 9,420,700 4,710,350 2,355,175 7,065,526 3,532,763 10,598,290 5,299,145 15,897,436 7,948,718 3,974,359 11,923,078 5,961,539 17,884,618 8,942,309 26,826,928 13,413,464 6,706,732 3,353,366 1,676,683 5,030,050 2,515,025 7,545,076 3,772,538 1,886,269 5,658,808 2,829,404 1,414,702 707,351 2,122,054 1,061,027 3,183,082 1,591,541 4,774,624 2,387,312 1,193,656

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