λ
Harmonic Matrix

3,459,404

22 × 13 × 71 × 937
Deficient Even Composite

3,459,404 has digital root 2. The neighboring primes are 3459403 and 3459409; its proper-divisor sum differs from the starting integer by -300,280.

Prime Factor Structure

Factorization String 2^2 × 13 × 71 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,618,528
Proper Divisor Sum 3,159,124
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3459403 ← → #3459409

Radix Representation

Decimal 3459404
Binary 1101001100100101001100 (22 bits)
Octal 0o15144514
Hexadecimal 0x34C94C

Divisor Catalog (24)

1 2 4 13 26 52 71 142 284 923 937 1,846 1,874 3,692 3,748 12,181 24,362 48,724 66,527 133,054 266,108 864,851 1,729,702 3,459,404

Collatz Trajectory (97 steps to reach 1)

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

3,459,404 1,729,702 864,851 2,594,554 1,297,277 3,891,832 1,945,916 972,958 486,479 1,459,438 729,719 2,189,158 1,094,579 3,283,738 1,641,869 4,925,608 2,462,804 1,231,402 615,701 1,847,104 923,552 461,776 230,888 115,444 57,722 28,861 86,584 43,292 21,646 10,823 32,470 16,235 48,706 24,353 73,060 36,530 18,265 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611

More profiles

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