λ
Harmonic Matrix

1,304,734

2 × 463 × 1409
Deficient Even Composite

1,304,734 has digital root 4. The neighboring primes are 1304713 and 1304741; its proper-divisor sum differs from the starting integer by -646,748.

Prime Factor Structure

Factorization String 2 × 463 × 1409
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,962,720
Proper Divisor Sum 657,986
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1304713 ← → #1304741

Radix Representation

Decimal 1304734
Binary 100111110100010011110 (21 bits)
Octal 0o4764236
Hexadecimal 0x13E89E

Divisor Catalog (8)

1 2 463 926 1,409 2,818 652,367 1,304,734

Collatz Trajectory (93 steps to reach 1)

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

1,304,734 652,367 1,957,102 978,551 2,935,654 1,467,827 4,403,482 2,201,741 6,605,224 3,302,612 1,651,306 825,653 2,476,960 1,238,480 619,240 309,620 154,810 77,405 232,216 116,108 58,054 29,027 87,082 43,541 130,624 65,312 32,656 16,328 8,164 4,082 2,041 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384

More profiles

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