λ
Harmonic Matrix

9,679,582

2 × 11 × 439981
Deficient Even Composite

9,679,582 has digital root 1. The neighboring primes are 9679577 and 9679597; its proper-divisor sum differs from the starting integer by -3,519,812.

Prime Factor Structure

Factorization String 2 × 11 × 439981
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,839,352
Proper Divisor Sum 6,159,770
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9679577 ← → #9679597

Radix Representation

Decimal 9679582
Binary 100100111011001011011110 (24 bits)
Octal 0o44731336
Hexadecimal 0x93B2DE

Divisor Catalog (8)

1 2 11 22 439,981 879,962 4,839,791 9,679,582

Collatz Trajectory (194 steps to reach 1)

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

9,679,582 4,839,791 14,519,374 7,259,687 21,779,062 10,889,531 32,668,594 16,334,297 49,002,892 24,501,446 12,250,723 36,752,170 18,376,085 55,128,256 27,564,128 13,782,064 6,891,032 3,445,516 1,722,758 861,379 2,584,138 1,292,069 3,876,208 1,938,104 969,052 484,526 242,263 726,790 363,395 1,090,186 545,093 1,635,280 817,640 408,820 204,410 102,205 306,616 153,308 76,654 38,327 114,982 57,491 172,474 86,237 258,712 129,356 64,678 32,339 97,018 48,509 145,528 72,764 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397

More profiles

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