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Atlas › Integer Profiles › Node 97,045,680

97,045,680

24 × 3 × 5 × 404357
Abundant Even Composite

97,045,680 factors as 2^4 × 3 × 5 × 404357. Its 40 positive divisors give a proper-divisor sum of 203,796,672, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 404357
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 300,842,352
Proper Divisor Sum 203,796,672
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #97045679 ← → #97045723

Radix Representation

Decimal 97045680
Binary 101110010001100110010110000 (27 bits)
Octal 0o562146260
Hexadecimal 0x5C8CCB0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 404,357 808,714 1,213,071 1,617,428 2,021,785 2,426,142 3,234,856 4,043,570 4,852,284 6,065,355 6,469,712 8,087,140 9,704,568 12,130,710 16,174,280 19,409,136 24,261,420 32,348,560 48,522,840 97,045,680

Collatz Trajectory (112 steps to reach 1)

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

97,045,680 48,522,840 24,261,420 12,130,710 6,065,355 18,196,066 9,098,033 27,294,100 13,647,050 6,823,525 20,470,576 10,235,288 5,117,644 2,558,822 1,279,411 3,838,234 1,919,117 5,757,352 2,878,676 1,439,338 719,669 2,159,008 1,079,504 539,752 269,876 134,938 67,469 202,408 101,204 50,602 25,301 75,904 37,952 18,976 9,488 4,744 2,372 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479

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