λ
Prime Ledger

2,760,584

23 × 233 × 1481
Deficient Even Composite

2,760,584 has the prime decomposition 2^3 × 233 × 1481. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 233 × 1481
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,201,820
Proper Divisor Sum 2,441,236
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2760577 ← → #2760587

Radix Representation

Decimal 2760584
Binary 1010100001111110001000 (22 bits)
Octal 0o12417610
Hexadecimal 0x2A1F88

Divisor Catalog (16)

1 2 4 8 233 466 932 1,481 1,864 2,962 5,924 11,848 345,073 690,146 1,380,292 2,760,584

Collatz Trajectory (156 steps to reach 1)

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

2,760,584 1,380,292 690,146 345,073 1,035,220 517,610 258,805 776,416 388,208 194,104 97,052 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920

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