λ
Sigma Notebook

8,637,565

5 × 1727513
Deficient Odd Composite

8,637,565 is odd and not a perfect square. Its factorization is 5 × 1727513 and its 4 divisors sum to 10,365,084.

Prime Factor Structure

Factorization String 5 × 1727513
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,365,084
Proper Divisor Sum 1,727,519
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8637527 ← → #8637611

Radix Representation

Decimal 8637565
Binary 100000111100110001111101 (24 bits)
Octal 0o40746175
Hexadecimal 0x83CC7D

Divisor Catalog (4)

1 5 1,727,513 8,637,565

Collatz Trajectory (93 steps to reach 1)

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

8,637,565 25,912,696 12,956,348 6,478,174 3,239,087 9,717,262 4,858,631 14,575,894 7,287,947 21,863,842 10,931,921 32,795,764 16,397,882 8,198,941 24,596,824 12,298,412 6,149,206 3,074,603 9,223,810 4,611,905 13,835,716 6,917,858 3,458,929 10,376,788 5,188,394 2,594,197 7,782,592 3,891,296 1,945,648 972,824 486,412 243,206 121,603 364,810 182,405 547,216 273,608 136,804 68,402 34,201 102,604 51,302 25,651 76,954 38,477 115,432 57,716 28,858 14,429 43,288 21,644 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522

More profiles

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