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Atlas › Integer Profiles › Node 8,167,240

8,167,240

23 × 5 × 73 × 2797
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 73 × 2797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,634,680
Proper Divisor Sum 10,467,440
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8167219 ← → #8167253

Radix Representation

Decimal 8167240
Binary 11111001001111101001000 (23 bits)
Octal 0o37117510
Hexadecimal 0x7C9F48

Divisor Catalog (32)

1 2 4 5 8 10 20 40 73 146 292 365 584 730 1,460 2,797 2,920 5,594 11,188 13,985 22,376 27,970 55,940 111,880 204,181 408,362 816,724 1,020,905 1,633,448 2,041,810 4,083,620 8,167,240

Collatz Trajectory (292 steps to reach 1)

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

8,167,240 4,083,620 2,041,810 1,020,905 3,062,716 1,531,358 765,679 2,297,038 1,148,519 3,445,558 1,722,779 5,168,338 2,584,169 7,752,508 3,876,254 1,938,127 5,814,382 2,907,191 8,721,574 4,360,787 13,082,362 6,541,181 19,623,544 9,811,772 4,905,886 2,452,943 7,358,830 3,679,415 11,038,246 5,519,123 16,557,370 8,278,685 24,836,056 12,418,028 6,209,014 3,104,507 9,313,522 4,656,761 13,970,284 6,985,142 3,492,571 10,477,714 5,238,857 15,716,572 7,858,286 3,929,143 11,787,430 5,893,715 17,681,146 8,840,573 26,521,720 13,260,860 6,630,430 3,315,215 9,945,646 4,972,823 14,918,470 7,459,235 22,377,706 11,188,853

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