7,638,764

2² × 7 × 272813

7,638,764 has digital root 5. The neighboring primes are 7638733 and 7638767; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 272813

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,277,584

Proper Divisor Sum 7,638,820

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7638733 ← → #7638767

Radix Representation

Decimal	7638764
Binary	11101001000111011101100 (23 bits)
Octal	0o35107354
Hexadecimal	0x748EEC

Divisor Catalog (12)

1 2 4 7 14 28 272,813 545,626 1,091,252 1,909,691 3,819,382 7,638,764

Collatz Trajectory (124 steps to reach 1)

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

7,638,764 3,819,382 1,909,691 5,729,074 2,864,537 8,593,612 4,296,806 2,148,403 6,445,210 3,222,605 9,667,816 4,833,908 2,416,954 1,208,477 3,625,432 1,812,716 906,358 453,179 1,359,538 679,769 2,039,308 1,019,654 509,827 1,529,482 764,741 2,294,224 1,147,112 573,556 286,778 143,389 430,168 215,084 107,542 53,771 161,314 80,657 241,972 120,986 60,493 181,480 90,740 45,370 22,685 68,056 34,028 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346

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