249,117

3 × 11 × 7549

249,117 factors as 3 × 11 × 7549. Its 8 positive divisors give a proper-divisor sum of 113,283, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3 × 11 × 7549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 362,400

Proper Divisor Sum 113,283

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #249107 ← → #249127

Radix Representation

Decimal	249117
Binary	111100110100011101 (18 bits)
Octal	0o746435
Hexadecimal	0x3CD1D

Divisor Catalog (8)

1 3 11 33 7,549 22,647 83,039 249,117

Collatz Trajectory (88 steps to reach 1)

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

249,117 747,352 373,676 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646 78,823 236,470 118,235 354,706 177,353 532,060 266,030 133,015 399,046 199,523 598,570 299,285 897,856 448,928 224,464 112,232 56,116 28,058 14,029 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268

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