2,758,173

3 × 11 × 19 × 53 × 83

Starting at 2,758,173, the Collatz iteration reaches 1 after 156 steps. The first transition is 8274520; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 19 × 53 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,354,560

Proper Divisor Sum 1,596,387

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2758169 ← → #2758181

Radix Representation

Decimal	2758173
Binary	1010100001011000011101 (22 bits)
Octal	0o12413035
Hexadecimal	0x2A161D

Divisor Catalog (32)

1 3 11 19 33 53 57 83 159 209 249 583 627 913 1,007 1,577 1,749 2,739 3,021 4,399 4,731 11,077 13,197 17,347 33,231 48,389 52,041 83,581 145,167 250,743 919,391 2,758,173

Collatz Trajectory (156 steps to reach 1)

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

2,758,173 8,274,520 4,137,260 2,068,630 1,034,315 3,102,946 1,551,473 4,654,420 2,327,210 1,163,605 3,490,816 1,745,408 872,704 436,352 218,176 109,088 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920

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