λ
Prime Ledger

1,245,568

27 × 37 × 263
Abundant Even Composite

1,245,568 has the prime decomposition 2^7 × 37 × 263. Its 3 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 37 × 263
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,558,160
Proper Divisor Sum 1,312,592
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1245557 ← → #1245589

Radix Representation

Decimal 1245568
Binary 100110000000110000000 (21 bits)
Octal 0o4600600
Hexadecimal 0x130180

Divisor Catalog (32)

1 2 4 8 16 32 37 64 74 128 148 263 296 526 592 1,052 1,184 2,104 2,368 4,208 4,736 8,416 9,731 16,832 19,462 33,664 38,924 77,848 155,696 311,392 622,784 1,245,568

Collatz Trajectory (54 steps to reach 1)

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

1,245,568 622,784 311,392 155,696 77,848 38,924 19,462 9,731 29,194 14,597 43,792 21,896 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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