λ
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Atlas › Integer Profiles › Node 49,908,079

49,908,079

13 × 19 × 37 × 43 × 127
Deficient Odd Composite

49,908,079 factors as 13 × 19 × 37 × 43 × 127. Its 32 positive divisors give a proper-divisor sum of 10,016,401, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 13 × 19 × 37 × 43 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 59,924,480
Proper Divisor Sum 10,016,401
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #49908077 ← → #49908083

Radix Representation

Decimal 49908079
Binary 10111110011000100101101111 (26 bits)
Octal 0o276304557
Hexadecimal 0x2F9896F

Divisor Catalog (32)

1 13 19 37 43 127 247 481 559 703 817 1,591 1,651 2,413 4,699 5,461 9,139 10,621 20,683 30,229 31,369 61,087 70,993 89,281 103,759 202,057 392,977 1,160,653 1,348,867 2,626,741 3,839,083 49,908,079

Collatz Trajectory (137 steps to reach 1)

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

49,908,079 149,724,238 74,862,119 224,586,358 112,293,179 336,879,538 168,439,769 505,319,308 252,659,654 126,329,827 378,989,482 189,494,741 568,484,224 284,242,112 142,121,056 71,060,528 35,530,264 17,765,132 8,882,566 4,441,283 13,323,850 6,661,925 19,985,776 9,992,888 4,996,444 2,498,222 1,249,111 3,747,334 1,873,667 5,621,002 2,810,501 8,431,504 4,215,752 2,107,876 1,053,938 526,969 1,580,908 790,454 395,227 1,185,682 592,841 1,778,524 889,262 444,631 1,333,894 666,947 2,000,842 1,000,421 3,001,264 1,500,632 750,316 375,158 187,579 562,738 281,369 844,108 422,054 211,027 633,082 316,541

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