λ
Prime Ledger

2,732,675

52 × 11 × 19 × 523
Deficient Odd Composite

2,732,675 has the prime decomposition 5^2 × 11 × 19 × 523. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 19 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,898,560
Proper Divisor Sum 1,165,885
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2732671 ← → #2732701

Radix Representation

Decimal 2732675
Binary 1010011011001010000011 (22 bits)
Octal 0o12331203
Hexadecimal 0x29B283

Divisor Catalog (24)

1 5 11 19 25 55 95 209 275 475 523 1,045 2,615 5,225 5,753 9,937 13,075 28,765 49,685 109,307 143,825 248,425 546,535 2,732,675

Collatz Trajectory (55 steps to reach 1)

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

2,732,675 8,198,026 4,099,013 12,297,040 6,148,520 3,074,260 1,537,130 768,565 2,305,696 1,152,848 576,424 288,212 144,106 72,053 216,160 108,080 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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