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Atlas › Integer Profiles › Node 21,662,630

21,662,630

2 × 5 × 112 × 17903
Deficient Even Composite

21,662,630 factors as 2 × 5 × 11^2 × 17903. Its 24 positive divisors give a proper-divisor sum of 21,199,546, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 17903
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 42,862,176
Proper Divisor Sum 21,199,546
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #21662609 ← → #21662633

Radix Representation

Decimal 21662630
Binary 1010010101000101110100110 (25 bits)
Octal 0o122505646
Hexadecimal 0x14A8BA6

Divisor Catalog (24)

1 2 5 10 11 22 55 110 121 242 605 1,210 17,903 35,806 89,515 179,030 196,933 393,866 984,665 1,969,330 2,166,263 4,332,526 10,831,315 21,662,630

Collatz Trajectory (141 steps to reach 1)

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

21,662,630 10,831,315 32,493,946 16,246,973 48,740,920 24,370,460 12,185,230 6,092,615 18,277,846 9,138,923 27,416,770 13,708,385 41,125,156 20,562,578 10,281,289 30,843,868 15,421,934 7,710,967 23,132,902 11,566,451 34,699,354 17,349,677 52,049,032 26,024,516 13,012,258 6,506,129 19,518,388 9,759,194 4,879,597 14,638,792 7,319,396 3,659,698 1,829,849 5,489,548 2,744,774 1,372,387 4,117,162 2,058,581 6,175,744 3,087,872 1,543,936 771,968 385,984 192,992 96,496 48,248 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817

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