λ
Sigma Notebook

1,535,117

17 × 73 × 1237
Deficient Odd Composite

1,535,117 is odd and not a perfect square. Its factorization is 17 × 73 × 1237 and its 8 divisors sum to 1,649,016.

Prime Factor Structure

Factorization String 17 × 73 × 1237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,649,016
Proper Divisor Sum 113,899
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1535111 ← → #1535119

Radix Representation

Decimal 1535117
Binary 101110110110010001101 (21 bits)
Octal 0o5666215
Hexadecimal 0x176C8D

Divisor Catalog (8)

1 17 73 1,237 1,241 21,029 90,301 1,535,117

Collatz Trajectory (88 steps to reach 1)

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

1,535,117 4,605,352 2,302,676 1,151,338 575,669 1,727,008 863,504 431,752 215,876 107,938 53,969 161,908 80,954 40,477 121,432 60,716 30,358 15,179 45,538 22,769 68,308 34,154 17,077 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640

More profiles

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