λ
Integer Codex

9,198,787

13 × 157 × 4507
Deficient Odd Composite

For 9,198,787, the 8 positive divisors have a total of 9,971,696. Removing 9,198,787 leaves 772,909, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 157 × 4507
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,971,696
Proper Divisor Sum 772,909
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #9198779 ← → #9198799

Radix Representation

Decimal 9198787
Binary 100011000101110011000011 (24 bits)
Octal 0o43056303
Hexadecimal 0x8C5CC3

Divisor Catalog (8)

1 13 157 2,041 4,507 58,591 707,599 9,198,787

Collatz Trajectory (225 steps to reach 1)

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

9,198,787 27,596,362 13,798,181 41,394,544 20,697,272 10,348,636 5,174,318 2,587,159 7,761,478 3,880,739 11,642,218 5,821,109 17,463,328 8,731,664 4,365,832 2,182,916 1,091,458 545,729 1,637,188 818,594 409,297 1,227,892 613,946 306,973 920,920 460,460 230,230 115,115 345,346 172,673 518,020 259,010 129,505 388,516 194,258 97,129 291,388 145,694 72,847 218,542 109,271 327,814 163,907 491,722 245,861 737,584 368,792 184,396 92,198 46,099 138,298 69,149 207,448 103,724 51,862 25,931 77,794 38,897 116,692 58,346

More profiles

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