λ
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Atlas › Integer Profiles › Node 21,392,613

21,392,613

33 × 11 × 17 × 19 × 223
Deficient Odd Composite

21,392,613 factors as 3^3 × 11 × 17 × 19 × 223. Its 64 positive divisors give a proper-divisor sum of 17,314,587, so this integer is deficient. The Collatz stopping time is 278 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 17 × 19 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 38,707,200
Proper Divisor Sum 17,314,587
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21392603 ← → #21392621

Radix Representation

Decimal 21392613
Binary 1010001100110110011100101 (25 bits)
Octal 0o121466345
Hexadecimal 0x1466CE5

Divisor Catalog (60 of 64)

1 3 9 11 17 19 27 33 51 57 99 153 171 187 209 223 297 323 459 513 561 627 669 969 1,683 1,881 2,007 2,453 2,907 3,553 3,791 4,237 5,049 5,643 6,021 7,359 8,721 10,659 11,373 12,711 22,077 31,977 34,119 38,133 41,701 46,607 66,231 72,029 95,931 102,357 114,399 125,103 139,821 216,087 375,309 419,463 648,261 792,319 1,125,927 1,258,389

Collatz Trajectory (278 steps to reach 1)

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

21,392,613 64,177,840 32,088,920 16,044,460 8,022,230 4,011,115 12,033,346 6,016,673 18,050,020 9,025,010 4,512,505 13,537,516 6,768,758 3,384,379 10,153,138 5,076,569 15,229,708 7,614,854 3,807,427 11,422,282 5,711,141 17,133,424 8,566,712 4,283,356 2,141,678 1,070,839 3,212,518 1,606,259 4,818,778 2,409,389 7,228,168 3,614,084 1,807,042 903,521 2,710,564 1,355,282 677,641 2,032,924 1,016,462 508,231 1,524,694 762,347 2,287,042 1,143,521 3,430,564 1,715,282 857,641 2,572,924 1,286,462 643,231 1,929,694 964,847 2,894,542 1,447,271 4,341,814 2,170,907 6,512,722 3,256,361 9,769,084 4,884,542

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