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Atlas › Integer Profiles › Node 26,317,752

26,317,752

23 × 3 × 839 × 1307
Abundant Even Composite

26,317,752 factors as 2^3 × 3 × 839 × 1307. Its 32 positive divisors give a proper-divisor sum of 39,605,448, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 839 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,923,200
Proper Divisor Sum 39,605,448
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26317631 ← → #26317757

Radix Representation

Decimal 26317752
Binary 1100100011001001110111000 (25 bits)
Octal 0o144311670
Hexadecimal 0x19193B8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 839 1,307 1,678 2,517 2,614 3,356 3,921 5,034 5,228 6,712 7,842 10,068 10,456 15,684 20,136 31,368 1,096,573 2,193,146 3,289,719 4,386,292 6,579,438 8,772,584 13,158,876 26,317,752

Collatz Trajectory (224 steps to reach 1)

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

26,317,752 13,158,876 6,579,438 3,289,719 9,869,158 4,934,579 14,803,738 7,401,869 22,205,608 11,102,804 5,551,402 2,775,701 8,327,104 4,163,552 2,081,776 1,040,888 520,444 260,222 130,111 390,334 195,167 585,502 292,751 878,254 439,127 1,317,382 658,691 1,976,074 988,037 2,964,112 1,482,056 741,028 370,514 185,257 555,772 277,886 138,943 416,830 208,415 625,246 312,623 937,870 468,935 1,406,806 703,403 2,110,210 1,055,105 3,165,316 1,582,658 791,329 2,373,988 1,186,994 593,497 1,780,492 890,246 445,123 1,335,370 667,685 2,003,056 1,001,528

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