7,642,507

61 × 125287

For 7,642,507, the 4 positive divisors have a total of 7,767,856. Removing 7,642,507 leaves 125,349, which gives the deficient classification.

Prime Factor Structure

Factorization String 61 × 125287

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,767,856

Proper Divisor Sum 125,349

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7642501 ← → #7642513

Radix Representation

Decimal	7642507
Binary	11101001001110110001011 (23 bits)
Octal	0o35116613
Hexadecimal	0x749D8B

Divisor Catalog (4)

1 61 125,287 7,642,507

Collatz Trajectory (129 steps to reach 1)

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

7,642,507 22,927,522 11,463,761 34,391,284 17,195,642 8,597,821 25,793,464 12,896,732 6,448,366 3,224,183 9,672,550 4,836,275 14,508,826 7,254,413 21,763,240 10,881,620 5,440,810 2,720,405 8,161,216 4,080,608 2,040,304 1,020,152 510,076 255,038 127,519 382,558 191,279 573,838 286,919 860,758 430,379 1,291,138 645,569 1,936,708 968,354 484,177 1,452,532 726,266 363,133 1,089,400 544,700 272,350 136,175 408,526 204,263 612,790 306,395 919,186 459,593 1,378,780 689,390 344,695 1,034,086 517,043 1,551,130 775,565 2,326,696 1,163,348 581,674 290,837

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