λ
Sigma Notebook

2,391,519

3 × 132 × 53 × 89
Deficient Odd Composite

2,391,519 is odd and not a perfect square. Its factorization is 3 × 13^2 × 53 × 89 and its 24 divisors sum to 3,557,520.

Prime Factor Structure

Factorization String 3 × 13^2 × 53 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,557,520
Proper Divisor Sum 1,166,001
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2391503 ← → #2391523

Radix Representation

Decimal 2391519
Binary 1001000111110111011111 (22 bits)
Octal 0o11076737
Hexadecimal 0x247DDF

Divisor Catalog (24)

1 3 13 39 53 89 159 169 267 507 689 1,157 2,067 3,471 4,717 8,957 14,151 15,041 26,871 45,123 61,321 183,963 797,173 2,391,519

Collatz Trajectory (143 steps to reach 1)

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

2,391,519 7,174,558 3,587,279 10,761,838 5,380,919 16,142,758 8,071,379 24,214,138 12,107,069 36,321,208 18,160,604 9,080,302 4,540,151 13,620,454 6,810,227 20,430,682 10,215,341 30,646,024 15,323,012 7,661,506 3,830,753 11,492,260 5,746,130 2,873,065 8,619,196 4,309,598 2,154,799 6,464,398 3,232,199 9,696,598 4,848,299 14,544,898 7,272,449 21,817,348 10,908,674 5,454,337 16,363,012 8,181,506 4,090,753 12,272,260 6,136,130 3,068,065 9,204,196 4,602,098 2,301,049 6,903,148 3,451,574 1,725,787 5,177,362 2,588,681 7,766,044 3,883,022 1,941,511 5,824,534 2,912,267 8,736,802 4,368,401 13,105,204 6,552,602 3,276,301

More profiles

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