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Atlas › Integer Profiles › Node 22,891,024

22,891,024

24 × 13 × 167 × 659
Abundant Even Composite

22,891,024 factors as 2^4 × 13 × 167 × 659. Its 40 positive divisors give a proper-divisor sum of 25,230,896, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 167 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 48,121,920
Proper Divisor Sum 25,230,896
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #22891009 ← → #22891031

Radix Representation

Decimal 22891024
Binary 1010111010100101000010000 (25 bits)
Octal 0o127245020
Hexadecimal 0x15D4A10

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 167 208 334 659 668 1,318 1,336 2,171 2,636 2,672 4,342 5,272 8,567 8,684 10,544 17,134 17,368 34,268 34,736 68,536 110,053 137,072 220,106 440,212 880,424 1,430,689 1,760,848 2,861,378 5,722,756 11,445,512 22,891,024

Collatz Trajectory (128 steps to reach 1)

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

22,891,024 11,445,512 5,722,756 2,861,378 1,430,689 4,292,068 2,146,034 1,073,017 3,219,052 1,609,526 804,763 2,414,290 1,207,145 3,621,436 1,810,718 905,359 2,716,078 1,358,039 4,074,118 2,037,059 6,111,178 3,055,589 9,166,768 4,583,384 2,291,692 1,145,846 572,923 1,718,770 859,385 2,578,156 1,289,078 644,539 1,933,618 966,809 2,900,428 1,450,214 725,107 2,175,322 1,087,661 3,262,984 1,631,492 815,746 407,873 1,223,620 611,810 305,905 917,716 458,858 229,429 688,288 344,144 172,072 86,036 43,018 21,509 64,528 32,264 16,132 8,066 4,033

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