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Atlas › Integer Profiles › Node 2,452,160

2,452,160

26 × 5 × 79 × 97
Abundant Even Composite

2,452,160 factors as 2^6 × 5 × 79 × 97. Its 56 positive divisors give a proper-divisor sum of 3,521,920, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 79 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 5,974,080
Proper Divisor Sum 3,521,920
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2452147 ← → #2452181

Radix Representation

Decimal 2452160
Binary 1001010110101011000000 (22 bits)
Octal 0o11265300
Hexadecimal 0x256AC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 64 79 80 97 158 160 194 316 320 388 395 485 632 776 790 970 1,264 1,552 1,580 1,940 2,528 3,104 3,160 3,880 5,056 6,208 6,320 7,663 7,760 12,640 15,326 15,520 25,280 30,652 31,040 38,315 61,304 76,630 122,608 153,260 245,216 306,520 490,432 613,040 1,226,080 2,452,160

Collatz Trajectory (99 steps to reach 1)

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

2,452,160 1,226,080 613,040 306,520 153,260 76,630 38,315 114,946 57,473 172,420 86,210 43,105 129,316 64,658 32,329 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593

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