3,436,810

2 × 5 × 13 × 26437

For 3,436,810, the 16 positive divisors have a total of 6,662,376. Removing 3,436,810 leaves 3,225,566, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 26437

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,662,376

Proper Divisor Sum 3,225,566

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3436793 ← → #3436813

Radix Representation

Decimal	3436810
Binary	1101000111000100001010 (22 bits)
Octal	0o15070412
Hexadecimal	0x34710A

Divisor Catalog (16)

1 2 5 10 13 26 65 130 26,437 52,874 132,185 264,370 343,681 687,362 1,718,405 3,436,810

Collatz Trajectory (128 steps to reach 1)

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

3,436,810 1,718,405 5,155,216 2,577,608 1,288,804 644,402 322,201 966,604 483,302 241,651 724,954 362,477 1,087,432 543,716 271,858 135,929 407,788 203,894 101,947 305,842 152,921 458,764 229,382 114,691 344,074 172,037 516,112 258,056 129,028 64,514 32,257 96,772 48,386 24,193 72,580 36,290 18,145 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802

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