λ
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Atlas › Integer Profiles › Node 21,361,263

21,361,263

3 × 7 × 11 × 19 × 31 × 157
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 19 × 31 × 157
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 38,830,080
Proper Divisor Sum 17,468,817
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #21361261 ← → #21361267

Radix Representation

Decimal 21361263
Binary 1010001011111001001101111 (25 bits)
Octal 0o121371157
Hexadecimal 0x145F26F

Divisor Catalog (60 of 64)

1 3 7 11 19 21 31 33 57 77 93 133 157 209 217 231 341 399 471 589 627 651 1,023 1,099 1,463 1,727 1,767 2,387 2,983 3,297 4,123 4,389 4,867 5,181 6,479 7,161 8,949 12,089 12,369 14,601 19,437 20,881 32,813 34,069 36,267 45,353 53,537 62,643 92,473 98,439 102,207 136,059 160,611 229,691 277,419 374,759 647,311 689,073 1,017,203 1,124,277

Collatz Trajectory (177 steps to reach 1)

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

21,361,263 64,083,790 32,041,895 96,125,686 48,062,843 144,188,530 72,094,265 216,282,796 108,141,398 54,070,699 162,212,098 81,106,049 243,318,148 121,659,074 60,829,537 182,488,612 91,244,306 45,622,153 136,866,460 68,433,230 34,216,615 102,649,846 51,324,923 153,974,770 76,987,385 230,962,156 115,481,078 57,740,539 173,221,618 86,610,809 259,832,428 129,916,214 64,958,107 194,874,322 97,437,161 292,311,484 146,155,742 73,077,871 219,233,614 109,616,807 328,850,422 164,425,211 493,275,634 246,637,817 739,913,452 369,956,726 184,978,363 554,935,090 277,467,545 832,402,636 416,201,318 208,100,659 624,301,978 312,150,989 936,452,968 468,226,484 234,113,242 117,056,621 351,169,864 175,584,932

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