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Atlas › Integer Profiles › Node 1,034,656

1,034,656

25 × 7 × 31 × 149
Abundant Even Composite

1,034,656 factors as 2^5 × 7 × 31 × 149. Its 48 positive divisors give a proper-divisor sum of 1,384,544, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 31 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,419,200
Proper Divisor Sum 1,384,544
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1034653 ← → #1034659

Radix Representation

Decimal 1034656
Binary 11111100100110100000 (20 bits)
Octal 0o3744640
Hexadecimal 0xFC9A0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 31 32 56 62 112 124 149 217 224 248 298 434 496 596 868 992 1,043 1,192 1,736 2,086 2,384 3,472 4,172 4,619 4,768 6,944 8,344 9,238 16,688 18,476 32,333 33,376 36,952 64,666 73,904 129,332 147,808 258,664 517,328 1,034,656

Collatz Trajectory (152 steps to reach 1)

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

1,034,656 517,328 258,664 129,332 64,666 32,333 97,000 48,500 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096

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