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Atlas › Integer Profiles › Node 8,748,544

8,748,544

29 × 7 × 2441
Abundant Even Composite

8,748,544 factors as 2^9 × 7 × 2441. Its 40 positive divisors give a proper-divisor sum of 11,236,784, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^9 × 7 × 2441
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,985,328
Proper Divisor Sum 11,236,784
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8748503 ← → #8748563

Radix Representation

Decimal 8748544
Binary 100001010111111000000000 (24 bits)
Octal 0o41277000
Hexadecimal 0x857E00

Divisor Catalog (40)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1,792 2,441 3,584 4,882 9,764 17,087 19,528 34,174 39,056 68,348 78,112 136,696 156,224 273,392 312,448 546,784 624,896 1,093,568 1,249,792 2,187,136 4,374,272 8,748,544

Collatz Trajectory (212 steps to reach 1)

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

8,748,544 4,374,272 2,187,136 1,093,568 546,784 273,392 136,696 68,348 34,174 17,087 51,262 25,631 76,894 38,447 115,342 57,671 173,014 86,507 259,522 129,761 389,284 194,642 97,321 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521 1,108,564 554,282 277,141 831,424 415,712 207,856 103,928 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495

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