λ
Sigma Notebook

2,671,735

5 × 11 × 31 × 1567
Deficient Odd Composite

2,671,735 is odd and not a perfect square. Its factorization is 5 × 11 × 31 × 1567 and its 16 divisors sum to 3,612,672.

Prime Factor Structure

Factorization String 5 × 11 × 31 × 1567
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,612,672
Proper Divisor Sum 940,937
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2671729 ← → #2671751

Radix Representation

Decimal 2671735
Binary 1010001100010001110111 (22 bits)
Octal 0o12142167
Hexadecimal 0x28C477

Divisor Catalog (16)

1 5 11 31 55 155 341 1,567 1,705 7,835 17,237 48,577 86,185 242,885 534,347 2,671,735

Collatz Trajectory (63 steps to reach 1)

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

2,671,735 8,015,206 4,007,603 12,022,810 6,011,405 18,034,216 9,017,108 4,508,554 2,254,277 6,762,832 3,381,416 1,690,708 845,354 422,677 1,268,032 634,016 317,008 158,504 79,252 39,626 19,813 59,440 29,720 14,860 7,430 3,715 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

More profiles

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