λ
Harmonic Matrix

3,398,293

109 × 31177
Deficient Odd Composite

3,398,293 has digital root 1. The neighboring primes are 3398267 and 3398309; its proper-divisor sum differs from the starting integer by -3,367,006.

Prime Factor Structure

Factorization String 109 × 31177
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,429,580
Proper Divisor Sum 31,287
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3398267 ← → #3398309

Radix Representation

Decimal 3398293
Binary 1100111101101010010101 (22 bits)
Octal 0o14755225
Hexadecimal 0x33DA95

Divisor Catalog (4)

1 109 31,177 3,398,293

Collatz Trajectory (89 steps to reach 1)

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

3,398,293 10,194,880 5,097,440 2,548,720 1,274,360 637,180 318,590 159,295 477,886 238,943 716,830 358,415 1,075,246 537,623 1,612,870 806,435 2,419,306 1,209,653 3,628,960 1,814,480 907,240 453,620 226,810 113,405 340,216 170,108 85,054 42,527 127,582 63,791 191,374 95,687 287,062 143,531 430,594 215,297 645,892 322,946 161,473 484,420 242,210 121,105 363,316 181,658 90,829 272,488 136,244 68,122 34,061 102,184 51,092 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593

More profiles

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