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Atlas › Integer Profiles › Node 35,069,672

35,069,672

23 × 112 × 36229
Abundant Even Composite

35,069,672 factors as 2^3 × 11^2 × 36229. Its 24 positive divisors give a proper-divisor sum of 37,209,178, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 36229
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 72,278,850
Proper Divisor Sum 37,209,178
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #35069651 ← → #35069681

Radix Representation

Decimal 35069672
Binary 10000101110001111011101000 (26 bits)
Octal 0o205617350
Hexadecimal 0x2171EE8

Divisor Catalog (24)

1 2 4 8 11 22 44 88 121 242 484 968 36,229 72,458 144,916 289,832 398,519 797,038 1,594,076 3,188,152 4,383,709 8,767,418 17,534,836 35,069,672

Collatz Trajectory (90 steps to reach 1)

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

35,069,672 17,534,836 8,767,418 4,383,709 13,151,128 6,575,564 3,287,782 1,643,891 4,931,674 2,465,837 7,397,512 3,698,756 1,849,378 924,689 2,774,068 1,387,034 693,517 2,080,552 1,040,276 520,138 260,069 780,208 390,104 195,052 97,526 48,763 146,290 73,145 219,436 109,718 54,859 164,578 82,289 246,868 123,434 61,717 185,152 92,576 46,288 23,144 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

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