λ
Prime Ledger

4,241,489

72 × 86561
Deficient Odd Composite

4,241,489 has the prime decomposition 7^2 × 86561. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 86561
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,934,034
Proper Divisor Sum 692,545
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4241459 ← → #4241507

Radix Representation

Decimal 4241489
Binary 10000001011100001010001 (23 bits)
Octal 0o20134121
Hexadecimal 0x40B851

Divisor Catalog (6)

1 7 49 86,561 605,927 4,241,489

Collatz Trajectory (198 steps to reach 1)

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

4,241,489 12,724,468 6,362,234 3,181,117 9,543,352 4,771,676 2,385,838 1,192,919 3,578,758 1,789,379 5,368,138 2,684,069 8,052,208 4,026,104 2,013,052 1,006,526 503,263 1,509,790 754,895 2,264,686 1,132,343 3,397,030 1,698,515 5,095,546 2,547,773 7,643,320 3,821,660 1,910,830 955,415 2,866,246 1,433,123 4,299,370 2,149,685 6,449,056 3,224,528 1,612,264 806,132 403,066 201,533 604,600 302,300 151,150 75,575 226,726 113,363 340,090 170,045 510,136 255,068 127,534 63,767 191,302 95,651 286,954 143,477 430,432 215,216 107,608 53,804 26,902

More profiles

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