λ
Harmonic Matrix

8,624,695

5 × 17 × 101467
Deficient Odd Composite

8,624,695 has digital root 4. The neighboring primes are 8624677 and 8624713; its proper-divisor sum differs from the starting integer by -6,290,846.

Prime Factor Structure

Factorization String 5 × 17 × 101467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,958,544
Proper Divisor Sum 2,333,849
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8624677 ← → #8624713

Radix Representation

Decimal 8624695
Binary 100000111001101000110111 (24 bits)
Octal 0o40715067
Hexadecimal 0x839A37

Divisor Catalog (8)

1 5 17 85 101,467 507,335 1,724,939 8,624,695

Collatz Trajectory (318 steps to reach 1)

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

8,624,695 25,874,086 12,937,043 38,811,130 19,405,565 58,216,696 29,108,348 14,554,174 7,277,087 21,831,262 10,915,631 32,746,894 16,373,447 49,120,342 24,560,171 73,680,514 36,840,257 110,520,772 55,260,386 27,630,193 82,890,580 41,445,290 20,722,645 62,167,936 31,083,968 15,541,984 7,770,992 3,885,496 1,942,748 971,374 485,687 1,457,062 728,531 2,185,594 1,092,797 3,278,392 1,639,196 819,598 409,799 1,229,398 614,699 1,844,098 922,049 2,766,148 1,383,074 691,537 2,074,612 1,037,306 518,653 1,555,960 777,980 388,990 194,495 583,486 291,743 875,230 437,615 1,312,846 656,423 1,969,270

More profiles

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