λ
Ratio Atlas

21,268,210

2 × 5 × 653 × 3257
Deficient Even Composite

21,268,210 factors as 2 × 5 × 653 × 3257. Its 16 positive divisors give a proper-divisor sum of 17,084,966, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 5 × 653 × 3257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 38,353,176
Proper Divisor Sum 17,084,966
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #21268193 ← → #21268213

Radix Representation

Decimal 21268210
Binary 1010001001000011011110010 (25 bits)
Octal 0o121103362
Hexadecimal 0x14486F2

Divisor Catalog (16)

Collatz Trajectory (159 steps to reach 1)

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

21,268,210 10,634,105 31,902,316 15,951,158 7,975,579 23,926,738 11,963,369 35,890,108 17,945,054 8,972,527 26,917,582 13,458,791 40,376,374 20,188,187 60,564,562 30,282,281 90,846,844 45,423,422 22,711,711 68,135,134 34,067,567 102,202,702 51,101,351 153,304,054 76,652,027 229,956,082 114,978,041 344,934,124 172,467,062 86,233,531 258,700,594 129,350,297 388,050,892 194,025,446 97,012,723 291,038,170 145,519,085 436,557,256 218,278,628 109,139,314 54,569,657 163,708,972 81,854,486 40,927,243 122,781,730 61,390,865 184,172,596 92,086,298 46,043,149 138,129,448 69,064,724 34,532,362 17,266,181 51,798,544 25,899,272 12,949,636 6,474,818 3,237,409 9,712,228 4,856,114

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