6,828,770

2 × 5 × 13 × 52529

Starting at 6,828,770, the Collatz iteration reaches 1 after 116 steps. The first transition is 3414385; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 52529

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,237,560

Proper Divisor Sum 6,408,790

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6828763 ← → #6828779

Radix Representation

Decimal	6828770
Binary	11010000011001011100010 (23 bits)
Octal	0o32031342
Hexadecimal	0x6832E2

Divisor Catalog (16)

1 2 5 10 13 26 65 130 52,529 105,058 262,645 525,290 682,877 1,365,754 3,414,385 6,828,770

Collatz Trajectory (116 steps to reach 1)

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

6,828,770 3,414,385 10,243,156 5,121,578 2,560,789 7,682,368 3,841,184 1,920,592 960,296 480,148 240,074 120,037 360,112 180,056 90,028 45,014 22,507 67,522 33,761 101,284 50,642 25,321 75,964 37,982 18,991 56,974 28,487 85,462 42,731 128,194 64,097 192,292 96,146 48,073 144,220 72,110 36,055 108,166 54,083 162,250 81,125 243,376 121,688 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220

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