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Atlas › Integer Profiles › Node 41,004,572

41,004,572

22 × 72 × 131 × 1597
Abundant Even Composite

41,004,572 factors as 2^2 × 7^2 × 131 × 1597. Its 36 positive divisors give a proper-divisor sum of 43,158,892, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 131 × 1597
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 84,163,464
Proper Divisor Sum 43,158,892
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #41004553 ← → #41004577

Radix Representation

Decimal 41004572
Binary 10011100011010111000011100 (26 bits)
Octal 0o234327034
Hexadecimal 0x271AE1C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 131 196 262 524 917 1,597 1,834 3,194 3,668 6,388 6,419 11,179 12,838 22,358 25,676 44,716 78,253 156,506 209,207 313,012 418,414 836,828 1,464,449 2,928,898 5,857,796 10,251,143 20,502,286 41,004,572

Collatz Trajectory (178 steps to reach 1)

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

41,004,572 20,502,286 10,251,143 30,753,430 15,376,715 46,130,146 23,065,073 69,195,220 34,597,610 17,298,805 51,896,416 25,948,208 12,974,104 6,487,052 3,243,526 1,621,763 4,865,290 2,432,645 7,297,936 3,648,968 1,824,484 912,242 456,121 1,368,364 684,182 342,091 1,026,274 513,137 1,539,412 769,706 384,853 1,154,560 577,280 288,640 144,320 72,160 36,080 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

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