λ
Prime Ledger

9,135,429

3 × 571 × 5333
Deficient Odd Composite

9,135,429 has the prime decomposition 3 × 571 × 5333. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 571 × 5333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,204,192
Proper Divisor Sum 3,068,763
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9135419 ← → #9135431

Radix Representation

Decimal 9135429
Binary 100010110110010101000101 (24 bits)
Octal 0o42662505
Hexadecimal 0x8B6545

Divisor Catalog (8)

1 3 571 1,713 5,333 15,999 3,045,143 9,135,429

Collatz Trajectory (225 steps to reach 1)

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

9,135,429 27,406,288 13,703,144 6,851,572 3,425,786 1,712,893 5,138,680 2,569,340 1,284,670 642,335 1,927,006 963,503 2,890,510 1,445,255 4,335,766 2,167,883 6,503,650 3,251,825 9,755,476 4,877,738 2,438,869 7,316,608 3,658,304 1,829,152 914,576 457,288 228,644 114,322 57,161 171,484 85,742 42,871 128,614 64,307 192,922 96,461 289,384 144,692 72,346 36,173 108,520 54,260 27,130 13,565 40,696 20,348 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659

More profiles

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