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Atlas › Integer Profiles › Node 46,721,360

46,721,360

24 × 5 × 7 × 83431
Abundant Even Composite

46,721,360 factors as 2^4 × 5 × 7 × 83431. Its 40 positive divisors give a proper-divisor sum of 77,425,456, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 83431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 124,146,816
Proper Divisor Sum 77,425,456
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #46721357 ← → #46721377

Radix Representation

Decimal 46721360
Binary 10110010001110100101010000 (26 bits)
Octal 0o262164520
Hexadecimal 0x2C8E950

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 83,431 166,862 333,724 417,155 584,017 667,448 834,310 1,168,034 1,334,896 1,668,620 2,336,068 2,920,085 3,337,240 4,672,136 5,840,170 6,674,480 9,344,272 11,680,340 23,360,680 46,721,360

Collatz Trajectory (204 steps to reach 1)

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

46,721,360 23,360,680 11,680,340 5,840,170 2,920,085 8,760,256 4,380,128 2,190,064 1,095,032 547,516 273,758 136,879 410,638 205,319 615,958 307,979 923,938 461,969 1,385,908 692,954 346,477 1,039,432 519,716 259,858 129,929 389,788 194,894 97,447 292,342 146,171 438,514 219,257 657,772 328,886 164,443 493,330 246,665 739,996 369,998 184,999 554,998 277,499 832,498 416,249 1,248,748 624,374 312,187 936,562 468,281 1,404,844 702,422 351,211 1,053,634 526,817 1,580,452 790,226 395,113 1,185,340 592,670 296,335

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