λ
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Atlas › Integer Profiles › Node 49,335,663

49,335,663

3 × 132 × 31 × 43 × 73
Deficient Odd Composite

49,335,663 factors as 3 × 13^2 × 31 × 43 × 73. Its 48 positive divisors give a proper-divisor sum of 26,932,881, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 31 × 43 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 76,268,544
Proper Divisor Sum 26,932,881
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #49335619 ← → #49335677

Radix Representation

Decimal 49335663
Binary 10111100001100110101101111 (26 bits)
Octal 0o274146557
Hexadecimal 0x2F0CD6F

Divisor Catalog (48)

1 3 13 31 39 43 73 93 129 169 219 403 507 559 949 1,209 1,333 1,677 2,263 2,847 3,139 3,999 5,239 6,789 7,267 9,417 12,337 15,717 17,329 21,801 29,419 37,011 40,807 51,987 88,257 97,309 122,421 225,277 291,927 382,447 530,491 675,831 1,147,341 1,265,017 1,591,473 3,795,051 16,445,221 49,335,663

Collatz Trajectory (111 steps to reach 1)

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

49,335,663 148,006,990 74,003,495 222,010,486 111,005,243 333,015,730 166,507,865 499,523,596 249,761,798 124,880,899 374,642,698 187,321,349 561,964,048 280,982,024 140,491,012 70,245,506 35,122,753 105,368,260 52,684,130 26,342,065 79,026,196 39,513,098 19,756,549 59,269,648 29,634,824 14,817,412 7,408,706 3,704,353 11,113,060 5,556,530 2,778,265 8,334,796 4,167,398 2,083,699 6,251,098 3,125,549 9,376,648 4,688,324 2,344,162 1,172,081 3,516,244 1,758,122 879,061 2,637,184 1,318,592 659,296 329,648 164,824 82,412 41,206 20,603 61,810 30,905 92,716 46,358 23,179 69,538 34,769 104,308 52,154

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