3,349,656

2³ × 3² × 46523

3,349,656 has digital root 9. The neighboring primes are 3349649 and 3349667; its proper-divisor sum differs from the starting integer by 2,372,868.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 46523

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,072,180

Proper Divisor Sum 5,722,524

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3349649 ← → #3349667

Radix Representation

Decimal	3349656
Binary	1100110001110010011000 (22 bits)
Octal	0o14616230
Hexadecimal	0x331C98

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 46,523 93,046 139,569 186,092 279,138 372,184 418,707 558,276 837,414 1,116,552 1,674,828 3,349,656

Collatz Trajectory (177 steps to reach 1)

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

3,349,656 1,674,828 837,414 418,707 1,256,122 628,061 1,884,184 942,092 471,046 235,523 706,570 353,285 1,059,856 529,928 264,964 132,482 66,241 198,724 99,362 49,681 149,044 74,522 37,261 111,784 55,892 27,946 13,973 41,920 20,960 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

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