2,829,934

2 × 173 × 8179

Starting at 2,829,934, the Collatz iteration reaches 1 after 76 steps. The first transition is 1414967; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 173 × 8179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,269,960

Proper Divisor Sum 1,440,026

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2829923 ← → #2829949

Radix Representation

Decimal	2829934
Binary	1010110010111001101110 (22 bits)
Octal	0o12627156
Hexadecimal	0x2B2E6E

Divisor Catalog (8)

1 2 173 346 8,179 16,358 1,414,967 2,829,934

Collatz Trajectory (76 steps to reach 1)

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

2,829,934 1,414,967 4,244,902 2,122,451 6,367,354 3,183,677 9,551,032 4,775,516 2,387,758 1,193,879 3,581,638 1,790,819 5,372,458 2,686,229 8,058,688 4,029,344 2,014,672 1,007,336 503,668 251,834 125,917 377,752 188,876 94,438 47,219 141,658 70,829 212,488 106,244 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14

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