λ
Harmonic Matrix

3,427,107

3 × 97 × 11777
Deficient Odd Composite

3,427,107 has digital root 6. The neighboring primes are 3427093 and 3427111; its proper-divisor sum differs from the starting integer by -2,237,238.

Prime Factor Structure

Factorization String 3 × 97 × 11777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,616,976
Proper Divisor Sum 1,189,869
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3427093 ← → #3427111

Radix Representation

Decimal 3427107
Binary 1101000100101100100011 (22 bits)
Octal 0o15045443
Hexadecimal 0x344B23

Divisor Catalog (8)

1 3 97 291 11,777 35,331 1,142,369 3,427,107

Collatz Trajectory (221 steps to reach 1)

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

3,427,107 10,281,322 5,140,661 15,421,984 7,710,992 3,855,496 1,927,748 963,874 481,937 1,445,812 722,906 361,453 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

More profiles

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