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Atlas › Integer Profiles › Node 49,929,616

49,929,616

24 × 11 × 367 × 773
Abundant Even Composite

49,929,616 factors as 2^4 × 11 × 367 × 773. Its 40 positive divisors give a proper-divisor sum of 56,027,888, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 367 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 105,957,504
Proper Divisor Sum 56,027,888
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #49929601 ← → #49929617

Radix Representation

Decimal 49929616
Binary 10111110011101110110010000 (26 bits)
Octal 0o276356620
Hexadecimal 0x2F9DD90

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 367 734 773 1,468 1,546 2,936 3,092 4,037 5,872 6,184 8,074 8,503 12,368 16,148 17,006 32,296 34,012 64,592 68,024 136,048 283,691 567,382 1,134,764 2,269,528 3,120,601 4,539,056 6,241,202 12,482,404 24,964,808 49,929,616

Collatz Trajectory (168 steps to reach 1)

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

49,929,616 24,964,808 12,482,404 6,241,202 3,120,601 9,361,804 4,680,902 2,340,451 7,021,354 3,510,677 10,532,032 5,266,016 2,633,008 1,316,504 658,252 329,126 164,563 493,690 246,845 740,536 370,268 185,134 92,567 277,702 138,851 416,554 208,277 624,832 312,416 156,208 78,104 39,052 19,526 9,763 29,290 14,645 43,936 21,968 10,984 5,492 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41

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