λ
Sigma Notebook

2,380,567

72 × 19 × 2557
Deficient Odd Composite

2,380,567 is odd and not a perfect square. Its factorization is 7^2 × 19 × 2557 and its 12 divisors sum to 2,916,120.

Prime Factor Structure

Factorization String 7^2 × 19 × 2557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,916,120
Proper Divisor Sum 535,553
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2380541 ← → #2380589

Radix Representation

Decimal 2380567
Binary 1001000101001100010111 (22 bits)
Octal 0o11051427
Hexadecimal 0x245317

Divisor Catalog (12)

1 7 19 49 133 931 2,557 17,899 48,583 125,293 340,081 2,380,567

Collatz Trajectory (143 steps to reach 1)

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

2,380,567 7,141,702 3,570,851 10,712,554 5,356,277 16,068,832 8,034,416 4,017,208 2,008,604 1,004,302 502,151 1,506,454 753,227 2,259,682 1,129,841 3,389,524 1,694,762 847,381 2,542,144 1,271,072 635,536 317,768 158,884 79,442 39,721 119,164 59,582 29,791 89,374 44,687 134,062 67,031 201,094 100,547 301,642 150,821 452,464 226,232 113,116 56,558 28,279 84,838 42,419 127,258 63,629 190,888 95,444 47,722 23,861 71,584 35,792 17,896 8,948 4,474 2,237 6,712 3,356 1,678 839 2,518

More profiles

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