λ
Harmonic Matrix

3,477,410

2 × 5 × 43 × 8087
Deficient Even Composite

3,477,410 has digital root 8. The neighboring primes are 3477407 and 3477421; its proper-divisor sum differs from the starting integer by -549,124.

Prime Factor Structure

Factorization String 2 × 5 × 43 × 8087
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,405,696
Proper Divisor Sum 2,928,286
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3477407 ← → #3477421

Radix Representation

Decimal 3477410
Binary 1101010000111110100010 (22 bits)
Octal 0o15207642
Hexadecimal 0x350FA2

Divisor Catalog (16)

1 2 5 10 43 86 215 430 8,087 16,174 40,435 80,870 347,741 695,482 1,738,705 3,477,410

Collatz Trajectory (133 steps to reach 1)

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

3,477,410 1,738,705 5,216,116 2,608,058 1,304,029 3,912,088 1,956,044 978,022 489,011 1,467,034 733,517 2,200,552 1,100,276 550,138 275,069 825,208 412,604 206,302 103,151 309,454 154,727 464,182 232,091 696,274 348,137 1,044,412 522,206 261,103 783,310 391,655 1,174,966 587,483 1,762,450 881,225 2,643,676 1,321,838 660,919 1,982,758 991,379 2,974,138 1,487,069 4,461,208 2,230,604 1,115,302 557,651 1,672,954 836,477 2,509,432 1,254,716 627,358 313,679 941,038 470,519 1,411,558 705,779 2,117,338 1,058,669 3,176,008 1,588,004 794,002

More profiles

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