λ
Prime Ledger

2,485,623

3 × 72 × 37 × 457
Deficient Odd Composite

2,485,623 has the prime decomposition 3 × 7^2 × 37 × 457. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 37 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,968,112
Proper Divisor Sum 1,482,489
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2485607 ← → #2485627

Radix Representation

Decimal 2485623
Binary 1001011110110101110111 (22 bits)
Octal 0o11366567
Hexadecimal 0x25ED77

Divisor Catalog (24)

1 3 7 21 37 49 111 147 259 457 777 1,371 1,813 3,199 5,439 9,597 16,909 22,393 50,727 67,179 118,363 355,089 828,541 2,485,623

Collatz Trajectory (112 steps to reach 1)

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

2,485,623 7,456,870 3,728,435 11,185,306 5,592,653 16,777,960 8,388,980 4,194,490 2,097,245 6,291,736 3,145,868 1,572,934 786,467 2,359,402 1,179,701 3,539,104 1,769,552 884,776 442,388 221,194 110,597 331,792 165,896 82,948 41,474 20,737 62,212 31,106 15,553 46,660 23,330 11,665 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632

More profiles

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