7,679,409

3 × 83 × 30841

7,679,409 factors as 3 × 83 × 30841. Its 8 positive divisors give a proper-divisor sum of 2,683,503, so this integer is deficient. The Collatz stopping time is 279 steps.

Prime Factor Structure

Factorization String 3 × 83 × 30841

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,362,912

Proper Divisor Sum 2,683,503

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7679389 ← → #7679429

Radix Representation

Decimal	7679409
Binary	11101010010110110110001 (23 bits)
Octal	0o35226661
Hexadecimal	0x752DB1

Divisor Catalog (8)

1 3 83 249 30,841 92,523 2,559,803 7,679,409

Collatz Trajectory (279 steps to reach 1)

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

7,679,409 23,038,228 11,519,114 5,759,557 17,278,672 8,639,336 4,319,668 2,159,834 1,079,917 3,239,752 1,619,876 809,938 404,969 1,214,908 607,454 303,727 911,182 455,591 1,366,774 683,387 2,050,162 1,025,081 3,075,244 1,537,622 768,811 2,306,434 1,153,217 3,459,652 1,729,826 864,913 2,594,740 1,297,370 648,685 1,946,056 973,028 486,514 243,257 729,772 364,886 182,443 547,330 273,665 820,996 410,498 205,249 615,748 307,874 153,937 461,812 230,906 115,453 346,360 173,180 86,590 43,295 129,886 64,943 194,830 97,415 292,246

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