λ
Integer Codex

8,632,525

52 × 11 × 31391
Deficient Odd Composite

For 8,632,525, the 12 positive divisors have a total of 11,677,824. Removing 8,632,525 leaves 3,045,299, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 11 × 31391
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,677,824
Proper Divisor Sum 3,045,299
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8632523 ← → #8632529

Radix Representation

Decimal 8632525
Binary 100000111011100011001101 (24 bits)
Octal 0o40734315
Hexadecimal 0x83B8CD

Divisor Catalog (12)

1 5 11 25 55 275 31,391 156,955 345,301 784,775 1,726,505 8,632,525

Collatz Trajectory (212 steps to reach 1)

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

8,632,525 25,897,576 12,948,788 6,474,394 3,237,197 9,711,592 4,855,796 2,427,898 1,213,949 3,641,848 1,820,924 910,462 455,231 1,365,694 682,847 2,048,542 1,024,271 3,072,814 1,536,407 4,609,222 2,304,611 6,913,834 3,456,917 10,370,752 5,185,376 2,592,688 1,296,344 648,172 324,086 162,043 486,130 243,065 729,196 364,598 182,299 546,898 273,449 820,348 410,174 205,087 615,262 307,631 922,894 461,447 1,384,342 692,171 2,076,514 1,038,257 3,114,772 1,557,386 778,693 2,336,080 1,168,040 584,020 292,010 146,005 438,016 219,008 109,504 54,752

More profiles

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