λ
Harmonic Matrix

8,635,375

53 × 7 × 71 × 139
Deficient Odd Composite

8,635,375 has digital root 1. The neighboring primes are 8635351 and 8635381; its proper-divisor sum differs from the starting integer by -4,690,910.

Prime Factor Structure

Factorization String 5^3 × 7 × 71 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,579,840
Proper Divisor Sum 3,944,465
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8635351 ← → #8635381

Radix Representation

Decimal 8635375
Binary 100000111100001111101111 (24 bits)
Octal 0o40741757
Hexadecimal 0x83C3EF

Divisor Catalog (32)

1 5 7 25 35 71 125 139 175 355 497 695 875 973 1,775 2,485 3,475 4,865 8,875 9,869 12,425 17,375 24,325 49,345 62,125 69,083 121,625 246,725 345,415 1,233,625 1,727,075 8,635,375

Collatz Trajectory (212 steps to reach 1)

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

8,635,375 25,906,126 12,953,063 38,859,190 19,429,595 58,288,786 29,144,393 87,433,180 43,716,590 21,858,295 65,574,886 32,787,443 98,362,330 49,181,165 147,543,496 73,771,748 36,885,874 18,442,937 55,328,812 27,664,406 13,832,203 41,496,610 20,748,305 62,244,916 31,122,458 15,561,229 46,683,688 23,341,844 11,670,922 5,835,461 17,506,384 8,753,192 4,376,596 2,188,298 1,094,149 3,282,448 1,641,224 820,612 410,306 205,153 615,460 307,730 153,865 461,596 230,798 115,399 346,198 173,099 519,298 259,649 778,948 389,474 194,737 584,212 292,106 146,053 438,160 219,080 109,540 54,770

More profiles

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