67,127

19 × 3533

67,127 factors as 19 × 3533. Its 4 positive divisors give a proper-divisor sum of 3,553, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 19 × 3533

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 70,680

Proper Divisor Sum 3,553

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #67121 ← → #67129

Radix Representation

Decimal	67127
Binary	10000011000110111 (17 bits)
Octal	0o203067
Hexadecimal	0x10637

Divisor Catalog (4)

1 19 3,533 67,127

Collatz Trajectory (117 steps to reach 1)

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

67,127 201,382 100,691 302,074 151,037 453,112 226,556 113,278 56,639 169,918 84,959 254,878 127,439 382,318 191,159 573,478 286,739 860,218 430,109 1,290,328 645,164 322,582 161,291 483,874 241,937 725,812 362,906 181,453 544,360 272,180 136,090 68,045 204,136 102,068 51,034 25,517 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334

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