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Atlas › Integer Profiles › Node 21,154,490

21,154,490

2 × 5 × 7 × 277 × 1091
Abundant Even Composite

21,154,490 factors as 2 × 5 × 7 × 277 × 1091. Its 32 positive divisors give a proper-divisor sum of 22,560,454, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 277 × 1091
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 43,714,944
Proper Divisor Sum 22,560,454
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #21154489 ← → #21154519

Radix Representation

Decimal 21154490
Binary 1010000101100101010111010 (25 bits)
Octal 0o120545272
Hexadecimal 0x142CABA

Divisor Catalog (32)

1 2 5 7 10 14 35 70 277 554 1,091 1,385 1,939 2,182 2,770 3,878 5,455 7,637 9,695 10,910 15,274 19,390 38,185 76,370 302,207 604,414 1,511,035 2,115,449 3,022,070 4,230,898 10,577,245 21,154,490

Collatz Trajectory (190 steps to reach 1)

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

21,154,490 10,577,245 31,731,736 15,865,868 7,932,934 3,966,467 11,899,402 5,949,701 17,849,104 8,924,552 4,462,276 2,231,138 1,115,569 3,346,708 1,673,354 836,677 2,510,032 1,255,016 627,508 313,754 156,877 470,632 235,316 117,658 58,829 176,488 88,244 44,122 22,061 66,184 33,092 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623

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