2,909,972

2² × 13 × 107 × 523

2,909,972 factors as 2^2 × 13 × 107 × 523. Its 24 positive divisors give a proper-divisor sum of 2,636,044, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 107 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,546,016

Proper Divisor Sum 2,636,044

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2909971 ← → #2909981

Radix Representation

Decimal	2909972
Binary	1011000110011100010100 (22 bits)
Octal	0o13063424
Hexadecimal	0x2C6714

Divisor Catalog (24)

1 2 4 13 26 52 107 214 428 523 1,046 1,391 2,092 2,782 5,564 6,799 13,598 27,196 55,961 111,922 223,844 727,493 1,454,986 2,909,972

Collatz Trajectory (89 steps to reach 1)

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

2,909,972 1,454,986 727,493 2,182,480 1,091,240 545,620 272,810 136,405 409,216 204,608 102,304 51,152 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

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