λ
Harmonic Matrix

8,428,711

37 × 107 × 2129
Deficient Odd Composite

8,428,711 has digital root 4. The neighboring primes are 8428709 and 8428729; its proper-divisor sum differs from the starting integer by -8,115,902.

Prime Factor Structure

Factorization String 37 × 107 × 2129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,741,520
Proper Divisor Sum 312,809
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8428709 ← → #8428729

Radix Representation

Decimal 8428711
Binary 100000001001110010100111 (24 bits)
Octal 0o40116247
Hexadecimal 0x809CA7

Divisor Catalog (8)

1 37 107 2,129 3,959 78,773 227,803 8,428,711

Collatz Trajectory (318 steps to reach 1)

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

8,428,711 25,286,134 12,643,067 37,929,202 18,964,601 56,893,804 28,446,902 14,223,451 42,670,354 21,335,177 64,005,532 32,002,766 16,001,383 48,004,150 24,002,075 72,006,226 36,003,113 108,009,340 54,004,670 27,002,335 81,007,006 40,503,503 121,510,510 60,755,255 182,265,766 91,132,883 273,398,650 136,699,325 410,097,976 205,048,988 102,524,494 51,262,247 153,786,742 76,893,371 230,680,114 115,340,057 346,020,172 173,010,086 86,505,043 259,515,130 129,757,565 389,272,696 194,636,348 97,318,174 48,659,087 145,977,262 72,988,631 218,965,894 109,482,947 328,448,842 164,224,421 492,673,264 246,336,632 123,168,316 61,584,158 30,792,079 92,376,238 46,188,119 138,564,358 69,282,179

More profiles

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