λ
Harmonic Matrix

370,746

2 × 32 × 43 × 479
Abundant Even Composite

370,746 has digital root 9. The neighboring primes are 370723 and 370759; its proper-divisor sum differs from the starting integer by 82,188.

Prime Factor Structure

Factorization String 2 × 3^2 × 43 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 823,680
Proper Divisor Sum 452,934
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #370723 ← → #370759

Radix Representation

Decimal 370746
Binary 1011010100000111010 (19 bits)
Octal 0o1324072
Hexadecimal 0x5A83A

Divisor Catalog (24)

1 2 3 6 9 18 43 86 129 258 387 479 774 958 1,437 2,874 4,311 8,622 20,597 41,194 61,791 123,582 185,373 370,746

Collatz Trajectory (166 steps to reach 1)

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

370,746 185,373 556,120 278,060 139,030 69,515 208,546 104,273 312,820 156,410 78,205 234,616 117,308 58,654 29,327 87,982 43,991 131,974 65,987 197,962 98,981 296,944 148,472 74,236 37,118 18,559 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878 140,939 422,818 211,409 634,228 317,114 158,557 475,672 237,836 118,918 59,459 178,378 89,189 267,568 133,784 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111

More profiles

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