λ
Sigma Notebook

3,430,401

3 × 13 × 87959
Deficient Odd Composite

3,430,401 is odd and not a perfect square. Its factorization is 3 × 13 × 87959 and its 8 divisors sum to 4,925,760.

Prime Factor Structure

Factorization String 3 × 13 × 87959
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,925,760
Proper Divisor Sum 1,495,359
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3430391 ← → #3430403

Radix Representation

Decimal 3430401
Binary 1101000101100000000001 (22 bits)
Octal 0o15054001
Hexadecimal 0x345801

Divisor Catalog (8)

1 3 13 39 87,959 263,877 1,143,467 3,430,401

Collatz Trajectory (102 steps to reach 1)

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

3,430,401 10,291,204 5,145,602 2,572,801 7,718,404 3,859,202 1,929,601 5,788,804 2,894,402 1,447,201 4,341,604 2,170,802 1,085,401 3,256,204 1,628,102 814,051 2,442,154 1,221,077 3,663,232 1,831,616 915,808 457,904 228,952 114,476 57,238 28,619 85,858 42,929 128,788 64,394 32,197 96,592 48,296 24,148 12,074 6,037 18,112 9,056 4,528 2,264 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644

More profiles

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