λ
Prime Ledger

3,444,490

2 × 5 × 7 × 49207
Abundant Even Composite

3,444,490 has the prime decomposition 2 × 5 × 7 × 49207. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 49207
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,085,952
Proper Divisor Sum 3,641,462
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3444481 ← → #3444499

Radix Representation

Decimal 3444490
Binary 1101001000111100001010 (22 bits)
Octal 0o15107412
Hexadecimal 0x348F0A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 49,207 98,414 246,035 344,449 492,070 688,898 1,722,245 3,444,490

Collatz Trajectory (115 steps to reach 1)

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

3,444,490 1,722,245 5,166,736 2,583,368 1,291,684 645,842 322,921 968,764 484,382 242,191 726,574 363,287 1,089,862 544,931 1,634,794 817,397 2,452,192 1,226,096 613,048 306,524 153,262 76,631 229,894 114,947 344,842 172,421 517,264 258,632 129,316 64,658 32,329 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098

More profiles

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