3,430,049

7² × 70001

For 3,430,049, the 6 positive divisors have a total of 3,990,114. Removing 3,430,049 leaves 560,065, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 70001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,990,114

Proper Divisor Sum 560,065

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3430043 ← → #3430079

Radix Representation

Decimal	3430049
Binary	1101000101011010100001 (22 bits)
Octal	0o15053241
Hexadecimal	0x3456A1

Divisor Catalog (6)

1 7 49 70,001 490,007 3,430,049

Collatz Trajectory (76 steps to reach 1)

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

3,430,049 10,290,148 5,145,074 2,572,537 7,717,612 3,858,806 1,929,403 5,788,210 2,894,105 8,682,316 4,341,158 2,170,579 6,511,738 3,255,869 9,767,608 4,883,804 2,441,902 1,220,951 3,662,854 1,831,427 5,494,282 2,747,141 8,241,424 4,120,712 2,060,356 1,030,178 515,089 1,545,268 772,634 386,317 1,158,952 579,476 289,738 144,869 434,608 217,304 108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064 116,032 58,016 29,008 14,504 7,252 3,626

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