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Atlas › Integer Profiles › Node 74,679,232

74,679,232

26 × 17 × 68639
Abundant Even Composite

74,679,232 factors as 2^6 × 17 × 68639. Its 28 positive divisors give a proper-divisor sum of 82,231,808, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 68639
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 156,911,040
Proper Divisor Sum 82,231,808
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #74679211 ← → #74679251

Radix Representation

Decimal 74679232
Binary 100011100111000001111000000 (27 bits)
Octal 0o434701700
Hexadecimal 0x47383C0

Divisor Catalog (28)

1 2 4 8 16 17 32 34 64 68 136 272 544 1,088 68,639 137,278 274,556 549,112 1,098,224 1,166,863 2,196,448 2,333,726 4,392,896 4,667,452 9,334,904 18,669,808 37,339,616 74,679,232

Collatz Trajectory (135 steps to reach 1)

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

74,679,232 37,339,616 18,669,808 9,334,904 4,667,452 2,333,726 1,166,863 3,500,590 1,750,295 5,250,886 2,625,443 7,876,330 3,938,165 11,814,496 5,907,248 2,953,624 1,476,812 738,406 369,203 1,107,610 553,805 1,661,416 830,708 415,354 207,677 623,032 311,516 155,758 77,879 233,638 116,819 350,458 175,229 525,688 262,844 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668

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