2,763,332

2² × 11 × 13 × 4831

2,763,332 factors as 2^2 × 11 × 13 × 4831. Its 24 positive divisors give a proper-divisor sum of 2,919,100, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 4831

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,682,432

Proper Divisor Sum 2,919,100

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2763331 ← → #2763347

Radix Representation

Decimal	2763332
Binary	1010100010101001000100 (22 bits)
Octal	0o12425104
Hexadecimal	0x2A2A44

Divisor Catalog (24)

Collatz Trajectory (125 steps to reach 1)

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

2,763,332 1,381,666 690,833 2,072,500 1,036,250 518,125 1,554,376 777,188 388,594 194,297 582,892 291,446 145,723 437,170 218,585 655,756 327,878 163,939 491,818 245,909 737,728 368,864 184,432 92,216 46,108 23,054 11,527 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182

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