88,746

2 × 3 × 7 × 2113

88,746 has digital root 6. The neighboring primes are 88741 and 88747; its proper-divisor sum differs from the starting integer by 25,452.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 2113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 202,944

Proper Divisor Sum 114,198

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #88741 ← → #88747

Radix Representation

Decimal	88746
Binary	10101101010101010 (17 bits)
Octal	0o255252
Hexadecimal	0x15AAA

Divisor Catalog (16)

1 2 3 6 7 14 21 42 2,113 4,226 6,339 12,678 14,791 29,582 44,373 88,746

Collatz Trajectory (40 steps to reach 1)

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

88,746 44,373 133,120 66,560 33,280 16,640 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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