λ
Integer Codex

1,503,132

22 × 3 × 125261
Abundant Even Composite

For 1,503,132, the 12 positive divisors have a total of 3,507,336. Removing 1,503,132 leaves 2,004,204, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 125261
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,507,336
Proper Divisor Sum 2,004,204
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1503127 ← → #1503137

Radix Representation

Decimal 1503132
Binary 101101110111110011100 (21 bits)
Octal 0o5567634
Hexadecimal 0x16EF9C

Divisor Catalog (12)

1 2 3 4 6 12 125,261 250,522 375,783 501,044 751,566 1,503,132

Collatz Trajectory (88 steps to reach 1)

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

1,503,132 751,566 375,783 1,127,350 563,675 1,691,026 845,513 2,536,540 1,268,270 634,135 1,902,406 951,203 2,853,610 1,426,805 4,280,416 2,140,208 1,070,104 535,052 267,526 133,763 401,290 200,645 601,936 300,968 150,484 75,242 37,621 112,864 56,432 28,216 14,108 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268

More profiles

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