λ
Harmonic Matrix

8,776,999

7 × 11 × 31 × 3677
Deficient Odd Composite

8,776,999 has digital root 1. The neighboring primes are 8776997 and 8777011; its proper-divisor sum differs from the starting integer by -6,255,182.

Prime Factor Structure

Factorization String 7 × 11 × 31 × 3677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,298,816
Proper Divisor Sum 2,521,817
Digit Sum / Digital Root 55 (Root: 1)
Adjacent Primes #8776997 ← → #8777011

Radix Representation

Decimal 8776999
Binary 100001011110110100100111 (24 bits)
Octal 0o41366447
Hexadecimal 0x85ED27

Divisor Catalog (16)

1 7 11 31 77 217 341 2,387 3,677 25,739 40,447 113,987 283,129 797,909 1,253,857 8,776,999

Collatz Trajectory (93 steps to reach 1)

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

8,776,999 26,330,998 13,165,499 39,496,498 19,748,249 59,244,748 29,622,374 14,811,187 44,433,562 22,216,781 66,650,344 33,325,172 16,662,586 8,331,293 24,993,880 12,496,940 6,248,470 3,124,235 9,372,706 4,686,353 14,059,060 7,029,530 3,514,765 10,544,296 5,272,148 2,636,074 1,318,037 3,954,112 1,977,056 988,528 494,264 247,132 123,566 61,783 185,350 92,675 278,026 139,013 417,040 208,520 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547

More profiles

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