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Atlas › Integer Profiles › Node 2,923,932

2,923,932

22 × 3 × 11 × 17 × 1303
Abundant Even Composite

2,923,932 factors as 2^2 × 3 × 11 × 17 × 1303. Its 48 positive divisors give a proper-divisor sum of 4,962,660, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 17 × 1303
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,886,592
Proper Divisor Sum 4,962,660
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2923927 ← → #2923933

Radix Representation

Decimal 2923932
Binary 1011001001110110011100 (22 bits)
Octal 0o13116634
Hexadecimal 0x2C9D9C

Divisor Catalog (48)

1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1,122 1,303 2,244 2,606 3,909 5,212 7,818 14,333 15,636 22,151 28,666 42,999 44,302 57,332 66,453 85,998 88,604 132,906 171,996 243,661 265,812 487,322 730,983 974,644 1,461,966 2,923,932

Collatz Trajectory (120 steps to reach 1)

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

2,923,932 1,461,966 730,983 2,192,950 1,096,475 3,289,426 1,644,713 4,934,140 2,467,070 1,233,535 3,700,606 1,850,303 5,550,910 2,775,455 8,326,366 4,163,183 12,489,550 6,244,775 18,734,326 9,367,163 28,101,490 14,050,745 42,152,236 21,076,118 10,538,059 31,614,178 15,807,089 47,421,268 23,710,634 11,855,317 35,565,952 17,782,976 8,891,488 4,445,744 2,222,872 1,111,436 555,718 277,859 833,578 416,789 1,250,368 625,184 312,592 156,296 78,148 39,074 19,537 58,612 29,306 14,653 43,960 21,980 10,990 5,495 16,486 8,243 24,730 12,365 37,096 18,548

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