λ
Prime Ledger

1,231,624

23 × 153953
Deficient Even Composite

1,231,624 has the prime decomposition 2^3 × 153953. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 153953
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,309,310
Proper Divisor Sum 1,077,686
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1231613 ← → #1231631

Radix Representation

Decimal 1231624
Binary 100101100101100001000 (21 bits)
Octal 0o4545410
Hexadecimal 0x12CB08

Divisor Catalog (8)

1 2 4 8 153,953 307,906 615,812 1,231,624

Collatz Trajectory (80 steps to reach 1)

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

1,231,624 615,812 307,906 153,953 461,860 230,930 115,465 346,396 173,198 86,599 259,798 129,899 389,698 194,849 584,548 292,274 146,137 438,412 219,206 109,603 328,810 164,405 493,216 246,608 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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