λ
Harmonic Matrix

730,046

2 × 29 × 41 × 307
Deficient Even Composite

730,046 has digital root 2. The neighboring primes are 730033 and 730049; its proper-divisor sum differs from the starting integer by -295,852.

Prime Factor Structure

Factorization String 2 × 29 × 41 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,164,240
Proper Divisor Sum 434,194
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #730033 ← → #730049

Radix Representation

Decimal 730046
Binary 10110010001110111110 (20 bits)
Octal 0o2621676
Hexadecimal 0xB23BE

Divisor Catalog (16)

1 2 29 41 58 82 307 614 1,189 2,378 8,903 12,587 17,806 25,174 365,023 730,046

Collatz Trajectory (198 steps to reach 1)

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

730,046 365,023 1,095,070 547,535 1,642,606 821,303 2,463,910 1,231,955 3,695,866 1,847,933 5,543,800 2,771,900 1,385,950 692,975 2,078,926 1,039,463 3,118,390 1,559,195 4,677,586 2,338,793 7,016,380 3,508,190 1,754,095 5,262,286 2,631,143 7,893,430 3,946,715 11,840,146 5,920,073 17,760,220 8,880,110 4,440,055 13,320,166 6,660,083 19,980,250 9,990,125 29,970,376 14,985,188 7,492,594 3,746,297 11,238,892 5,619,446 2,809,723 8,429,170 4,214,585 12,643,756 6,321,878 3,160,939 9,482,818 4,741,409 14,224,228 7,112,114 3,556,057 10,668,172 5,334,086 2,667,043 8,001,130 4,000,565 12,001,696 6,000,848

More profiles

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