λ
Prime Ledger

1,536,402

2 × 3 × 7 × 157 × 233
Abundant Even Composite

1,536,402 has the prime decomposition 2 × 3 × 7 × 157 × 233. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 157 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,549,312
Proper Divisor Sum 2,012,910
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1536401 ← → #1536439

Radix Representation

Decimal 1536402
Binary 101110111000110010010 (21 bits)
Octal 0o5670622
Hexadecimal 0x177192

Divisor Catalog (32)

1 2 3 6 7 14 21 42 157 233 314 466 471 699 942 1,099 1,398 1,631 2,198 3,262 3,297 4,893 6,594 9,786 36,581 73,162 109,743 219,486 256,067 512,134 768,201 1,536,402

Collatz Trajectory (186 steps to reach 1)

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

1,536,402 768,201 2,304,604 1,152,302 576,151 1,728,454 864,227 2,592,682 1,296,341 3,889,024 1,944,512 972,256 486,128 243,064 121,532 60,766 30,383 91,150 45,575 136,726 68,363 205,090 102,545 307,636 153,818 76,909 230,728 115,364 57,682 28,841 86,524 43,262 21,631 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837

More profiles

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