9,708,828

2² × 3 × 31 × 26099

Starting at 9,708,828, the Collatz iteration reaches 1 after 313 steps. The first transition is 4854414; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 26099

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,385,600

Proper Divisor Sum 13,676,772

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9708799 ← → #9708833

Radix Representation

Decimal	9708828
Binary	100101000010010100011100 (24 bits)
Octal	0o45022434
Hexadecimal	0x94251C

Divisor Catalog (24)

Collatz Trajectory (313 steps to reach 1)

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

9,708,828 4,854,414 2,427,207 7,281,622 3,640,811 10,922,434 5,461,217 16,383,652 8,191,826 4,095,913 12,287,740 6,143,870 3,071,935 9,215,806 4,607,903 13,823,710 6,911,855 20,735,566 10,367,783 31,103,350 15,551,675 46,655,026 23,327,513 69,982,540 34,991,270 17,495,635 52,486,906 26,243,453 78,730,360 39,365,180 19,682,590 9,841,295 29,523,886 14,761,943 44,285,830 22,142,915 66,428,746 33,214,373 99,643,120 49,821,560 24,910,780 12,455,390 6,227,695 18,683,086 9,341,543 28,024,630 14,012,315 42,036,946 21,018,473 63,055,420 31,527,710 15,763,855 47,291,566 23,645,783 70,937,350 35,468,675 106,406,026 53,203,013 159,609,040 79,804,520

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