102,088

2³ × 7 × 1823

102,088 is even and not a perfect square. Its factorization is 2^3 × 7 × 1823 and its 16 divisors sum to 218,880.

Prime Factor Structure

Factorization String 2^3 × 7 × 1823

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 218,880

Proper Divisor Sum 116,792

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #102079 ← → #102101

Radix Representation

Decimal	102088
Binary	11000111011001000 (17 bits)
Octal	0o307310
Hexadecimal	0x18EC8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 1,823 3,646 7,292 12,761 14,584 25,522 51,044 102,088

Collatz Trajectory (79 steps to reach 1)

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

102,088 51,044 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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