8,688,025

5² × 53 × 79 × 83

8,688,025 has digital root 1. The neighboring primes are 8688013 and 8688059; its proper-divisor sum differs from the starting integer by -6,126,770.

Prime Factor Structure

Factorization String 5^2 × 53 × 79 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,249,280

Proper Divisor Sum 2,561,255

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8688013 ← → #8688059

Radix Representation

Decimal	8688025
Binary	100001001001000110011001 (24 bits)
Octal	0o41110631
Hexadecimal	0x849199

Divisor Catalog (24)

1 5 25 53 79 83 265 395 415 1,325 1,975 2,075 4,187 4,399 6,557 20,935 21,995 32,785 104,675 109,975 163,925 347,521 1,737,605 8,688,025

Collatz Trajectory (119 steps to reach 1)

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

8,688,025 26,064,076 13,032,038 6,516,019 19,548,058 9,774,029 29,322,088 14,661,044 7,330,522 3,665,261 10,995,784 5,497,892 2,748,946 1,374,473 4,123,420 2,061,710 1,030,855 3,092,566 1,546,283 4,638,850 2,319,425 6,958,276 3,479,138 1,739,569 5,218,708 2,609,354 1,304,677 3,914,032 1,957,016 978,508 489,254 244,627 733,882 366,941 1,100,824 550,412 275,206 137,603 412,810 206,405 619,216 309,608 154,804 77,402 38,701 116,104 58,052 29,026 14,513 43,540 21,770 10,885 32,656 16,328 8,164 4,082 2,041 6,124 3,062 1,531

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