λ
Prime Ledger

367,960

23 × 5 × 9199
Abundant Even Composite

367,960 has the prime decomposition 2^3 × 5 × 9199. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 9199
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 828,000
Proper Divisor Sum 460,040
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #367957 ← → #368021

Radix Representation

Decimal 367960
Binary 1011001110101011000 (19 bits)
Octal 0o1316530
Hexadecimal 0x59D58

Divisor Catalog (16)

1 2 4 5 8 10 20 40 9,199 18,398 36,796 45,995 73,592 91,990 183,980 367,960

Collatz Trajectory (86 steps to reach 1)

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

367,960 183,980 91,990 45,995 137,986 68,993 206,980 103,490 51,745 155,236 77,618 38,809 116,428 58,214 29,107 87,322 43,661 130,984 65,492 32,746 16,373 49,120 24,560 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65

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