λ
Prime Ledger

2,595,444

22 × 3 × 31 × 6977
Abundant Even Composite

2,595,444 has the prime decomposition 2^2 × 3 × 31 × 6977. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 6977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,252,288
Proper Divisor Sum 3,656,844
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2595433 ← → #2595451

Radix Representation

Decimal 2595444
Binary 1001111001101001110100 (22 bits)
Octal 0o11715164
Hexadecimal 0x279A74

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 372 6,977 13,954 20,931 27,908 41,862 83,724 216,287 432,574 648,861 865,148 1,297,722 2,595,444

Collatz Trajectory (94 steps to reach 1)

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

2,595,444 1,297,722 648,861 1,946,584 973,292 486,646 243,323 729,970 364,985 1,094,956 547,478 273,739 821,218 410,609 1,231,828 615,914 307,957 923,872 461,936 230,968 115,484 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752

More profiles

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