λ
Prime Ledger

1,125,024

25 × 3 × 11719
Abundant Even Composite

1,125,024 has the prime decomposition 2^5 × 3 × 11719. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 11719
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,953,440
Proper Divisor Sum 1,828,416
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1125017 ← → #1125029

Radix Representation

Decimal 1125024
Binary 100010010101010100000 (21 bits)
Octal 0o4225240
Hexadecimal 0x112AA0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 11,719 23,438 35,157 46,876 70,314 93,752 140,628 187,504 281,256 375,008 562,512 1,125,024

Collatz Trajectory (103 steps to reach 1)

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

1,125,024 562,512 281,256 140,628 70,314 35,157 105,472 52,736 26,368 13,184 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

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