λ
Zalai Atlas

9,003,432

23 × 3 × 37 × 10139
Abundant Even Composite

9,003,432 has the prime decomposition 2^3 × 3 × 37 × 10139. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 10139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,119,200
Proper Divisor Sum 14,115,768
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9003431 ← → #9003437

Radix Representation

Decimal 9003432
Binary 100010010110000110101000 (24 bits)
Octal 0o42260650
Hexadecimal 0x8961A8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 10,139 20,278 30,417 40,556 60,834 81,112 121,668 243,336 375,143 750,286 1,125,429 1,500,572 2,250,858 3,001,144 4,501,716 9,003,432

Collatz Trajectory (88 steps to reach 1)

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

9,003,432 4,501,716 2,250,858 1,125,429 3,376,288 1,688,144 844,072 422,036 211,018 105,509 316,528 158,264 79,132 39,566 19,783 59,350 29,675 89,026 44,513 133,540 66,770 33,385 100,156 50,078 25,039 75,118 37,559 112,678 56,339 169,018 84,509 253,528 126,764 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588

More profiles

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