λ
Integer Codex

8,156,525

52 × 13 × 25097
Deficient Odd Composite

For 8,156,525, the 12 positive divisors have a total of 10,892,532. Removing 8,156,525 leaves 2,736,007, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 13 × 25097
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,892,532
Proper Divisor Sum 2,736,007
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8156507 ← → #8156527

Radix Representation

Decimal 8156525
Binary 11111000111010101101101 (23 bits)
Octal 0o37072555
Hexadecimal 0x7C756D

Divisor Catalog (12)

1 5 13 25 65 325 25,097 125,485 326,261 627,425 1,631,305 8,156,525

Collatz Trajectory (137 steps to reach 1)

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

8,156,525 24,469,576 12,234,788 6,117,394 3,058,697 9,176,092 4,588,046 2,294,023 6,882,070 3,441,035 10,323,106 5,161,553 15,484,660 7,742,330 3,871,165 11,613,496 5,806,748 2,903,374 1,451,687 4,355,062 2,177,531 6,532,594 3,266,297 9,798,892 4,899,446 2,449,723 7,349,170 3,674,585 11,023,756 5,511,878 2,755,939 8,267,818 4,133,909 12,401,728 6,200,864 3,100,432 1,550,216 775,108 387,554 193,777 581,332 290,666 145,333 436,000 218,000 109,000 54,500 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623

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