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Atlas › Integer Profiles › Node 8,979,604

8,979,604

22 × 17 × 37 × 43 × 83
Deficient Even Composite

8,979,604 factors as 2^2 × 17 × 37 × 43 × 83. Its 48 positive divisors give a proper-divisor sum of 8,716,844, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 37 × 43 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,696,448
Proper Divisor Sum 8,716,844
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8979599 ← → #8979611

Radix Representation

Decimal 8979604
Binary 100010010000010010010100 (24 bits)
Octal 0o42202224
Hexadecimal 0x890494

Divisor Catalog (48)

1 2 4 17 34 37 43 68 74 83 86 148 166 172 332 629 731 1,258 1,411 1,462 1,591 2,516 2,822 2,924 3,071 3,182 3,569 5,644 6,142 6,364 7,138 12,284 14,276 27,047 52,207 54,094 60,673 104,414 108,188 121,346 132,053 208,828 242,692 264,106 528,212 2,244,901 4,489,802 8,979,604

Collatz Trajectory (111 steps to reach 1)

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

8,979,604 4,489,802 2,244,901 6,734,704 3,367,352 1,683,676 841,838 420,919 1,262,758 631,379 1,894,138 947,069 2,841,208 1,420,604 710,302 355,151 1,065,454 532,727 1,598,182 799,091 2,397,274 1,198,637 3,595,912 1,797,956 898,978 449,489 1,348,468 674,234 337,117 1,011,352 505,676 252,838 126,419 379,258 189,629 568,888 284,444 142,222 71,111 213,334 106,667 320,002 160,001 480,004 240,002 120,001 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956

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