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Atlas › Integer Profiles › Node 26,314,977

26,314,977

3 × 13 × 29 × 53 × 439
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 29 × 53 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,916,800
Proper Divisor Sum 13,601,823
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #26314961 ← → #26314999

Radix Representation

Decimal 26314977
Binary 1100100011000100011100001 (25 bits)
Octal 0o144304341
Hexadecimal 0x19188E1

Divisor Catalog (32)

1 3 13 29 39 53 87 159 377 439 689 1,131 1,317 1,537 2,067 4,611 5,707 12,731 17,121 19,981 23,267 38,193 59,943 69,801 165,503 302,471 496,509 674,743 907,413 2,024,229 8,771,659 26,314,977

Collatz Trajectory (335 steps to reach 1)

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

26,314,977 78,944,932 39,472,466 19,736,233 59,208,700 29,604,350 14,802,175 44,406,526 22,203,263 66,609,790 33,304,895 99,914,686 49,957,343 149,872,030 74,936,015 224,808,046 112,404,023 337,212,070 168,606,035 505,818,106 252,909,053 758,727,160 379,363,580 189,681,790 94,840,895 284,522,686 142,261,343 426,784,030 213,392,015 640,176,046 320,088,023 960,264,070 480,132,035 1,440,396,106 720,198,053 2,160,594,160 1,080,297,080 540,148,540 270,074,270 135,037,135 405,111,406 202,555,703 607,667,110 303,833,555 911,500,666 455,750,333 1,367,251,000 683,625,500 341,812,750 170,906,375 512,719,126 256,359,563 769,078,690 384,539,345 1,153,618,036 576,809,018 288,404,509 865,213,528 432,606,764 216,303,382

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