7,625,968

2⁴ × 7² × 71 × 137

7,625,968 has digital root 7. The neighboring primes are 7625951 and 7625987; its proper-divisor sum differs from the starting integer by 2,304,976.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 71 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 17,556,912

Proper Divisor Sum 9,930,944

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7625951 ← → #7625987

Radix Representation

Decimal	7625968
Binary	11101000101110011110000 (23 bits)
Octal	0o35056360
Hexadecimal	0x745CF0

Divisor Catalog (60)

1 2 4 7 8 14 16 28 49 56 71 98 112 137 142 196 274 284 392 497 548 568 784 959 994 1,096 1,136 1,918 1,988 2,192 3,479 3,836 3,976 6,713 6,958 7,672 7,952 9,727 13,426 13,916 15,344 19,454 26,852 27,832 38,908 53,704 55,664 68,089 77,816 107,408 136,178 155,632 272,356 476,623 544,712 953,246 1,089,424 1,906,492 3,812,984 7,625,968

Collatz Trajectory (248 steps to reach 1)

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

7,625,968 3,812,984 1,906,492 953,246 476,623 1,429,870 714,935 2,144,806 1,072,403 3,217,210 1,608,605 4,825,816 2,412,908 1,206,454 603,227 1,809,682 904,841 2,714,524 1,357,262 678,631 2,035,894 1,017,947 3,053,842 1,526,921 4,580,764 2,290,382 1,145,191 3,435,574 1,717,787 5,153,362 2,576,681 7,730,044 3,865,022 1,932,511 5,797,534 2,898,767 8,696,302 4,348,151 13,044,454 6,522,227 19,566,682 9,783,341 29,350,024 14,675,012 7,337,506 3,668,753 11,006,260 5,503,130 2,751,565 8,254,696 4,127,348 2,063,674 1,031,837 3,095,512 1,547,756 773,878 386,939 1,160,818 580,409 1,741,228

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