λ
Prime Ledger

1,015,644

22 × 3 × 7 × 107 × 113
Abundant Even Composite

1,015,644 has the prime decomposition 2^2 × 3 × 7 × 107 × 113. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 107 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,757,888
Proper Divisor Sum 1,742,244
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1015627 ← → #1015661

Radix Representation

Decimal 1015644
Binary 11110111111101011100 (20 bits)
Octal 0o3677534
Hexadecimal 0xF7F5C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 107 113 214 226 321 339 428 452 642 678 749 791 1,284 1,356 1,498 1,582 2,247 2,373 2,996 3,164 4,494 4,746 8,988 9,492 12,091 24,182 36,273 48,364 72,546 84,637 145,092 169,274 253,911 338,548 507,822 1,015,644

Collatz Trajectory (90 steps to reach 1)

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

1,015,644 507,822 253,911 761,734 380,867 1,142,602 571,301 1,713,904 856,952 428,476 214,238 107,119 321,358 160,679 482,038 241,019 723,058 361,529 1,084,588 542,294 271,147 813,442 406,721 1,220,164 610,082 305,041 915,124 457,562 228,781 686,344 343,172 171,586 85,793 257,380 128,690 64,345 193,036 96,518 48,259 144,778 72,389 217,168 108,584 54,292 27,146 13,573 40,720 20,360 10,180 5,090 2,545 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179

More profiles

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