λ
Prime Ledger

4,604,425

52 × 7 × 83 × 317
Deficient Odd Composite

4,604,425 has the prime decomposition 5^2 × 7 × 83 × 317. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 83 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,624,576
Proper Divisor Sum 2,020,151
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4604389 ← → #4604447

Radix Representation

Decimal 4604425
Binary 10001100100001000001001 (23 bits)
Octal 0o21441011
Hexadecimal 0x464209

Divisor Catalog (24)

1 5 7 25 35 83 175 317 415 581 1,585 2,075 2,219 2,905 7,925 11,095 14,525 26,311 55,475 131,555 184,177 657,775 920,885 4,604,425

Collatz Trajectory (162 steps to reach 1)

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

4,604,425 13,813,276 6,906,638 3,453,319 10,359,958 5,179,979 15,539,938 7,769,969 23,309,908 11,654,954 5,827,477 17,482,432 8,741,216 4,370,608 2,185,304 1,092,652 546,326 273,163 819,490 409,745 1,229,236 614,618 307,309 921,928 460,964 230,482 115,241 345,724 172,862 86,431 259,294 129,647 388,942 194,471 583,414 291,707 875,122 437,561 1,312,684 656,342 328,171 984,514 492,257 1,476,772 738,386 369,193 1,107,580 553,790 276,895 830,686 415,343 1,246,030 623,015 1,869,046 934,523 2,803,570 1,401,785 4,205,356 2,102,678 1,051,339

More profiles

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