67,856

2⁴ × 4241

67,856 has digital root 5. The neighboring primes are 67853 and 67867; its proper-divisor sum differs from the starting integer by -4,210.

Prime Factor Structure

Factorization String 2^4 × 4241

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 131,502

Proper Divisor Sum 63,646

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #67853 ← → #67867

Radix Representation

Decimal	67856
Binary	10000100100010000 (17 bits)
Octal	0o204420
Hexadecimal	0x10910

Divisor Catalog (10)

1 2 4 8 16 4,241 8,482 16,964 33,928 67,856

Collatz Trajectory (112 steps to reach 1)

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

67,856 33,928 16,964 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 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 1,151 3,454 1,727 5,182 2,591

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