271,073

11 × 19 × 1297

Starting at 271,073, the Collatz iteration reaches 1 after 163 steps. The first transition is 813220; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 19 × 1297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 311,520

Proper Divisor Sum 40,447

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #271067 ← → #271079

Radix Representation

Decimal	271073
Binary	1000010001011100001 (19 bits)
Octal	0o1021341
Hexadecimal	0x422E1

Divisor Catalog (8)

1 11 19 209 1,297 14,267 24,643 271,073

Collatz Trajectory (163 steps to reach 1)

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

271,073 813,220 406,610 203,305 609,916 304,958 152,479 457,438 228,719 686,158 343,079 1,029,238 514,619 1,543,858 771,929 2,315,788 1,157,894 578,947 1,736,842 868,421 2,605,264 1,302,632 651,316 325,658 162,829 488,488 244,244 122,122 61,061 183,184 91,592 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720

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