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Atlas › Integer Profiles › Node 1,070,976

1,070,976

27 × 3 × 2789
Abundant Even Composite

1,070,976 factors as 2^7 × 3 × 2789. Its 32 positive divisors give a proper-divisor sum of 1,774,824, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 2789
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,845,800
Proper Divisor Sum 1,774,824
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1070947 ← → #1070981

Radix Representation

Decimal 1070976
Binary 100000101011110000000 (21 bits)
Octal 0o4053600
Hexadecimal 0x105780

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2,789 5,578 8,367 11,156 16,734 22,312 33,468 44,624 66,936 89,248 133,872 178,496 267,744 356,992 535,488 1,070,976

Collatz Trajectory (165 steps to reach 1)

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

1,070,976 535,488 267,744 133,872 66,936 33,468 16,734 8,367 25,102 12,551 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190

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