λ
Harmonic Matrix

3,462,410

2 × 5 × 7 × 49463
Abundant Even Composite

3,462,410 has digital root 2. The neighboring primes are 3462391 and 3462419; its proper-divisor sum differs from the starting integer by 197,996.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 49463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,122,816
Proper Divisor Sum 3,660,406
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3462391 ← → #3462419

Radix Representation

Decimal 3462410
Binary 1101001101010100001010 (22 bits)
Octal 0o15152412
Hexadecimal 0x34D50A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 49,463 98,926 247,315 346,241 494,630 692,482 1,731,205 3,462,410

Collatz Trajectory (71 steps to reach 1)

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

3,462,410 1,731,205 5,193,616 2,596,808 1,298,404 649,202 324,601 973,804 486,902 243,451 730,354 365,177 1,095,532 547,766 273,883 821,650 410,825 1,232,476 616,238 308,119 924,358 462,179 1,386,538 693,269 2,079,808 1,039,904 519,952 259,976 129,988 64,994 32,497 97,492 48,746 24,373 73,120 36,560 18,280 9,140 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17

More profiles

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