λ
Sigma Notebook

8,748,736

26 × 223 × 613
Deficient Even Composite

8,748,736 is even and not a perfect square. Its factorization is 2^6 × 223 × 613 and its 28 divisors sum to 17,467,072.

Prime Factor Structure

Factorization String 2^6 × 223 × 613
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 17,467,072
Proper Divisor Sum 8,718,336
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8748731 ← → #8748739

Radix Representation

Decimal 8748736
Binary 100001010111111011000000 (24 bits)
Octal 0o41277300
Hexadecimal 0x857EC0

Divisor Catalog (28)

1 2 4 8 16 32 64 223 446 613 892 1,226 1,784 2,452 3,568 4,904 7,136 9,808 14,272 19,616 39,232 136,699 273,398 546,796 1,093,592 2,187,184 4,374,368 8,748,736

Collatz Trajectory (212 steps to reach 1)

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

8,748,736 4,374,368 2,187,184 1,093,592 546,796 273,398 136,699 410,098 205,049 615,148 307,574 153,787 461,362 230,681 692,044 346,022 173,011 519,034 259,517 778,552 389,276 194,638 97,319 291,958 145,979 437,938 218,969 656,908 328,454 164,227 492,682 246,341 739,024 369,512 184,756 92,378 46,189 138,568 69,284 34,642 17,321 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495

More profiles

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