λ
Ratio Atlas

20,729,965

5 × 4145993
Deficient Odd Composite

20,729,965 factors as 5 × 4145993. Its 4 positive divisors give a proper-divisor sum of 4,145,999, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 5 × 4145993
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 24,875,964
Proper Divisor Sum 4,145,999
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #20729939 ← → #20729981

Radix Representation

Decimal 20729965
Binary 1001111000101000001101101 (25 bits)
Octal 0o117050155
Hexadecimal 0x13C506D

Divisor Catalog (4)

Collatz Trajectory (159 steps to reach 1)

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

20,729,965 62,189,896 31,094,948 15,547,474 7,773,737 23,321,212 11,660,606 5,830,303 17,490,910 8,745,455 26,236,366 13,118,183 39,354,550 19,677,275 59,031,826 29,515,913 88,547,740 44,273,870 22,136,935 66,410,806 33,205,403 99,616,210 49,808,105 149,424,316 74,712,158 37,356,079 112,068,238 56,034,119 168,102,358 84,051,179 252,153,538 126,076,769 378,230,308 189,115,154 94,557,577 283,672,732 141,836,366 70,918,183 212,754,550 106,377,275 319,131,826 159,565,913 478,697,740 239,348,870 119,674,435 359,023,306 179,511,653 538,534,960 269,267,480 134,633,740 67,316,870 33,658,435 100,975,306 50,487,653 151,462,960 75,731,480 37,865,740 18,932,870 9,466,435 28,399,306

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