3,427,109

7² × 69941

3,427,109 factors as 7^2 × 69941. Its 6 positive divisors give a proper-divisor sum of 559,585, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 7^2 × 69941

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,986,694

Proper Divisor Sum 559,585

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3427093 ← → #3427111

Radix Representation

Decimal	3427109
Binary	1101000100101100100101 (22 bits)
Octal	0o15045445
Hexadecimal	0x344B25

Divisor Catalog (6)

1 7 49 69,941 489,587 3,427,109

Collatz Trajectory (221 steps to reach 1)

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

3,427,109 10,281,328 5,140,664 2,570,332 1,285,166 642,583 1,927,750 963,875 2,891,626 1,445,813 4,337,440 2,168,720 1,084,360 542,180 271,090 135,545 406,636 203,318 101,659 304,978 152,489 457,468 228,734 114,367 343,102 171,551 514,654 257,327 771,982 385,991 1,157,974 578,987 1,736,962 868,481 2,605,444 1,302,722 651,361 1,954,084 977,042 488,521 1,465,564 732,782 366,391 1,099,174 549,587 1,648,762 824,381 2,473,144 1,236,572 618,286 309,143 927,430 463,715 1,391,146 695,573 2,086,720 1,043,360 521,680 260,840 130,420

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