362,064

2⁴ × 3 × 19 × 397

For 362,064, the 40 positive divisors have a total of 987,040. Removing 362,064 leaves 624,976, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 987,040

Proper Divisor Sum 624,976

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #362059 ← → #362069

Radix Representation

Decimal	362064
Binary	1011000011001010000 (19 bits)
Octal	0o1303120
Hexadecimal	0x58650

Divisor Catalog (40)

1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 397 456 794 912 1,191 1,588 2,382 3,176 4,764 6,352 7,543 9,528 15,086 19,056 22,629 30,172 45,258 60,344 90,516 120,688 181,032 362,064

Collatz Trajectory (117 steps to reach 1)

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

362,064 181,032 90,516 45,258 22,629 67,888 33,944 16,972 8,486 4,243 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302

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