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Atlas › Integer Profiles › Node 2,883,992

2,883,992

23 × 29 × 31 × 401
Abundant Even Composite

2,883,992 factors as 2^3 × 29 × 31 × 401. Its 32 positive divisors give a proper-divisor sum of 2,904,808, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 31 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,788,800
Proper Divisor Sum 2,904,808
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2883989 ← → #2883997

Radix Representation

Decimal 2883992
Binary 1011000000000110011000 (22 bits)
Octal 0o13000630
Hexadecimal 0x2C0198

Divisor Catalog (32)

1 2 4 8 29 31 58 62 116 124 232 248 401 802 899 1,604 1,798 3,208 3,596 7,192 11,629 12,431 23,258 24,862 46,516 49,724 93,032 99,448 360,499 720,998 1,441,996 2,883,992

Collatz Trajectory (182 steps to reach 1)

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

2,883,992 1,441,996 720,998 360,499 1,081,498 540,749 1,622,248 811,124 405,562 202,781 608,344 304,172 152,086 76,043 228,130 114,065 342,196 171,098 85,549 256,648 128,324 64,162 32,081 96,244 48,122 24,061 72,184 36,092 18,046 9,023 27,070 13,535 40,606 20,303 60,910 30,455 91,366 45,683 137,050 68,525 205,576 102,788 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296

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