6,884,960

2⁵ × 5 × 37 × 1163

Starting at 6,884,960, the Collatz iteration reaches 1 after 178 steps. The first transition is 3442480; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 37 × 1163

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,719,696

Proper Divisor Sum 9,834,736

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6884959 ← → #6884971

Radix Representation

Decimal	6884960
Binary	11010010000111001100000 (23 bits)
Octal	0o32207140
Hexadecimal	0x690E60

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1,163 1,184 1,480 2,326 2,960 4,652 5,815 5,920 9,304 11,630 18,608 23,260 37,216 43,031 46,520 86,062 93,040 172,124 186,080 215,155 344,248 430,310 688,496 860,620 1,376,992 1,721,240 3,442,480 6,884,960

Collatz Trajectory (178 steps to reach 1)

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

6,884,960 3,442,480 1,721,240 860,620 430,310 215,155 645,466 322,733 968,200 484,100 242,050 121,025 363,076 181,538 90,769 272,308 136,154 68,077 204,232 102,116 51,058 25,529 76,588 38,294 19,147 57,442 28,721 86,164 43,082 21,541 64,624 32,312 16,156 8,078 4,039 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283

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