4,491,641

7 × 11² × 5303

4,491,641 factors as 7 × 11^2 × 5303. Its 12 positive divisors give a proper-divisor sum of 1,151,815, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 7 × 11^2 × 5303

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,643,456

Proper Divisor Sum 1,151,815

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4491631 ← → #4491653

Radix Representation

Decimal	4491641
Binary	10001001000100101111001 (23 bits)
Octal	0o21104571
Hexadecimal	0x448979

Divisor Catalog (12)

1 7 11 77 121 847 5,303 37,121 58,333 408,331 641,663 4,491,641

Collatz Trajectory (136 steps to reach 1)

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

4,491,641 13,474,924 6,737,462 3,368,731 10,106,194 5,053,097 15,159,292 7,579,646 3,789,823 11,369,470 5,684,735 17,054,206 8,527,103 25,581,310 12,790,655 38,371,966 19,185,983 57,557,950 28,778,975 86,336,926 43,168,463 129,505,390 64,752,695 194,258,086 97,129,043 291,387,130 145,693,565 437,080,696 218,540,348 109,270,174 54,635,087 163,905,262 81,952,631 245,857,894 122,928,947 368,786,842 184,393,421 553,180,264 276,590,132 138,295,066 69,147,533 207,442,600 103,721,300 51,860,650 25,930,325 77,790,976 38,895,488 19,447,744 9,723,872 4,861,936 2,430,968 1,215,484 607,742 303,871 911,614 455,807 1,367,422 683,711 2,051,134 1,025,567

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