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Atlas › Integer Profiles › Node 71,852,575

71,852,575

52 × 23 × 29 × 31 × 139
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 23 × 29 × 31 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,993,600
Proper Divisor Sum 28,141,025
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #71852563 ← → #71852581

Radix Representation

Decimal 71852575
Binary 100010010000110001000011111 (27 bits)
Octal 0o422061037
Hexadecimal 0x448621F

Divisor Catalog (48)

1 5 23 25 29 31 115 139 145 155 575 667 695 713 725 775 899 3,197 3,335 3,475 3,565 4,031 4,309 4,495 15,985 16,675 17,825 20,155 20,677 21,545 22,475 79,925 92,713 99,107 100,775 103,385 107,725 124,961 463,565 495,535 516,925 624,805 2,317,825 2,477,675 2,874,103 3,124,025 14,370,515 71,852,575

Collatz Trajectory (277 steps to reach 1)

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

71,852,575 215,557,726 107,778,863 323,336,590 161,668,295 485,004,886 242,502,443 727,507,330 363,753,665 1,091,260,996 545,630,498 272,815,249 818,445,748 409,222,874 204,611,437 613,834,312 306,917,156 153,458,578 76,729,289 230,187,868 115,093,934 57,546,967 172,640,902 86,320,451 258,961,354 129,480,677 388,442,032 194,221,016 97,110,508 48,555,254 24,277,627 72,832,882 36,416,441 109,249,324 54,624,662 27,312,331 81,936,994 40,968,497 122,905,492 61,452,746 30,726,373 92,179,120 46,089,560 23,044,780 11,522,390 5,761,195 17,283,586 8,641,793 25,925,380 12,962,690 6,481,345 19,444,036 9,722,018 4,861,009 14,583,028 7,291,514 3,645,757 10,937,272 5,468,636 2,734,318

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