2,620,176

2⁴ × 3 × 13² × 17 × 19

Starting at 2,620,176, the Collatz iteration reaches 1 after 143 steps. The first transition is 1310088; the starting value is even with 120 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 13^2 × 17 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 8,169,120

Proper Divisor Sum 5,548,944

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2620171 ← → #2620181

Radix Representation

Decimal	2620176
Binary	1001111111101100010000 (22 bits)
Octal	0o11775420
Hexadecimal	0x27FB10

Divisor Catalog (60 of 120)

1 2 3 4 6 8 12 13 16 17 19 24 26 34 38 39 48 51 52 57 68 76 78 102 104 114 136 152 156 169 204 208 221 228 247 272 304 312 323 338 408 442 456 494 507 624 646 663 676 741 816 884 912 969 988 1,014 1,292 1,326 1,352 1,482

Collatz Trajectory (143 steps to reach 1)

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

2,620,176 1,310,088 655,044 327,522 163,761 491,284 245,642 122,821 368,464 184,232 92,116 46,058 23,029 69,088 34,544 17,272 8,636 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 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466

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