λ
Prime Ledger

100,603

37 × 2719
Deficient Odd Composite

100,603 has the prime decomposition 37 × 2719. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 2719
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 103,360
Proper Divisor Sum 2,757
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #100591 ← → #100609

Radix Representation

Decimal 100603
Binary 11000100011111011 (17 bits)
Octal 0o304373
Hexadecimal 0x188FB

Divisor Catalog (4)

1 37 2,719 100,603

Collatz Trajectory (115 steps to reach 1)

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

100,603 301,810 150,905 452,716 226,358 113,179 339,538 169,769 509,308 254,654 127,327 381,982 190,991 572,974 286,487 859,462 429,731 1,289,194 644,597 1,933,792 966,896 483,448 241,724 120,862 60,431 181,294 90,647 271,942 135,971 407,914 203,957 611,872 305,936 152,968 76,484 38,242 19,121 57,364 28,682 14,341 43,024 21,512 10,756 5,378 2,689 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833

More profiles

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