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Atlas › Integer Profiles › Node 2,932,896

2,932,896

25 × 3 × 137 × 223
Abundant Even Composite

2,932,896 factors as 2^5 × 3 × 137 × 223. Its 48 positive divisors give a proper-divisor sum of 4,856,928, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 137 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,789,824
Proper Divisor Sum 4,856,928
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2932889 ← → #2932903

Radix Representation

Decimal 2932896
Binary 1011001100000010100000 (22 bits)
Octal 0o13140240
Hexadecimal 0x2CC0A0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 137 223 274 411 446 548 669 822 892 1,096 1,338 1,644 1,784 2,192 2,676 3,288 3,568 4,384 5,352 6,576 7,136 10,704 13,152 21,408 30,551 61,102 91,653 122,204 183,306 244,408 366,612 488,816 733,224 977,632 1,466,448 2,932,896

Collatz Trajectory (89 steps to reach 1)

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

2,932,896 1,466,448 733,224 366,612 183,306 91,653 274,960 137,480 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520

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