λ
Ratio Atlas

21,369,993

3 × 7123331
Deficient Odd Composite

21,369,993 factors as 3 × 7123331. Its 4 positive divisors give a proper-divisor sum of 7,123,335, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 3 × 7123331
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 28,493,328
Proper Divisor Sum 7,123,335
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #21369991 ← → #21370001

Radix Representation

Decimal 21369993
Binary 1010001100001010010001001 (25 bits)
Octal 0o121412211
Hexadecimal 0x1461489

Divisor Catalog (4)

Collatz Trajectory (221 steps to reach 1)

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

21,369,993 64,109,980 32,054,990 16,027,495 48,082,486 24,041,243 72,123,730 36,061,865 108,185,596 54,092,798 27,046,399 81,139,198 40,569,599 121,708,798 60,854,399 182,563,198 91,281,599 273,844,798 136,922,399 410,767,198 205,383,599 616,150,798 308,075,399 924,226,198 462,113,099 1,386,339,298 693,169,649 2,079,508,948 1,039,754,474 519,877,237 1,559,631,712 779,815,856 389,907,928 194,953,964 97,476,982 48,738,491 146,215,474 73,107,737 219,323,212 109,661,606 54,830,803 164,492,410 82,246,205 246,738,616 123,369,308 61,684,654 30,842,327 92,526,982 46,263,491 138,790,474 69,395,237 208,185,712 104,092,856 52,046,428 26,023,214 13,011,607 39,034,822 19,517,411 58,552,234 29,276,117

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