133,010

2 × 5 × 47 × 283

133,010 has digital root 8. The neighboring primes are 132989 and 133013; its proper-divisor sum differs from the starting integer by -20,644.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 245,376

Proper Divisor Sum 112,366

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #132989 ← → #133013

Radix Representation

Decimal	133010
Binary	100000011110010010 (18 bits)
Octal	0o403622
Hexadecimal	0x20792

Divisor Catalog (16)

1 2 5 10 47 94 235 283 470 566 1,415 2,830 13,301 26,602 66,505 133,010

Collatz Trajectory (118 steps to reach 1)

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

133,010 66,505 199,516 99,758 49,879 149,638 74,819 224,458 112,229 336,688 168,344 84,172 42,086 21,043 63,130 31,565 94,696 47,348 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850

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