λ
Harmonic Matrix

1,208,734

2 × 17 × 73 × 487
Deficient Even Composite

1,208,734 has digital root 7. The neighboring primes are 1208731 and 1208741; its proper-divisor sum differs from the starting integer by -467,420.

Prime Factor Structure

Factorization String 2 × 17 × 73 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,950,048
Proper Divisor Sum 741,314
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1208731 ← → #1208741

Radix Representation

Decimal 1208734
Binary 100100111000110011110 (21 bits)
Octal 0o4470636
Hexadecimal 0x12719E

Divisor Catalog (16)

1 2 17 34 73 146 487 974 1,241 2,482 8,279 16,558 35,551 71,102 604,367 1,208,734

Collatz Trajectory (235 steps to reach 1)

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

1,208,734 604,367 1,813,102 906,551 2,719,654 1,359,827 4,079,482 2,039,741 6,119,224 3,059,612 1,529,806 764,903 2,294,710 1,147,355 3,442,066 1,721,033 5,163,100 2,581,550 1,290,775 3,872,326 1,936,163 5,808,490 2,904,245 8,712,736 4,356,368 2,178,184 1,089,092 544,546 272,273 816,820 408,410 204,205 612,616 306,308 153,154 76,577 229,732 114,866 57,433 172,300 86,150 43,075 129,226 64,613 193,840 96,920 48,460 24,230 12,115 36,346 18,173 54,520 27,260 13,630 6,815 20,446 10,223 30,670 15,335 46,006

More profiles

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