λ
Prime Ledger

1,543,328

25 × 17 × 2837
Abundant Even Composite

1,543,328 has the prime decomposition 2^5 × 17 × 2837. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 17 × 2837
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,218,292
Proper Divisor Sum 1,674,964
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1543319 ← → #1543337

Radix Representation

Decimal 1543328
Binary 101111000110010100000 (21 bits)
Octal 0o5706240
Hexadecimal 0x178CA0

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 2,837 5,674 11,348 22,696 45,392 48,229 90,784 96,458 192,916 385,832 771,664 1,543,328

Collatz Trajectory (194 steps to reach 1)

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

1,543,328 771,664 385,832 192,916 96,458 48,229 144,688 72,344 36,172 18,086 9,043 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 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796

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