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Atlas › Integer Profiles › Node 100,597

100,597

72 × 2053
Deficient Odd Composite

100,597 has the prime decomposition 7^2 × 2053. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 2053
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 117,078
Proper Divisor Sum 16,481
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #100591 ← → #100609

Radix Representation

Decimal 100597
Binary 11000100011110101 (17 bits)
Octal 0o304365
Hexadecimal 0x188F5

Divisor Catalog (6)

1 7 49 2,053 14,371 100,597

Collatz Trajectory (110 steps to reach 1)

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

100,597 301,792 150,896 75,448 37,724 18,862 9,431 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641

More profiles

8,053,668 2,262,510 839,335 4,077,941 4,206,016 5,826,881 5,210,109 5,692,179 9,281,093 2,849,653 4,889,942 2,524,466 196,274 7,706,147 7,007,958 2,478,675
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