4,995,978

2 × 3 × 13³ × 379

Starting at 4,995,978, the Collatz iteration reaches 1 after 162 steps. The first transition is 2497989; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13^3 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,852,800

Proper Divisor Sum 5,856,822

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #4995953 ← → #4995983

Radix Representation

Decimal	4995978
Binary	10011000011101110001010 (23 bits)
Octal	0o23035612
Hexadecimal	0x4C3B8A

Divisor Catalog (32)

1 2 3 6 13 26 39 78 169 338 379 507 758 1,014 1,137 2,197 2,274 4,394 4,927 6,591 9,854 13,182 14,781 29,562 64,051 128,102 192,153 384,306 832,663 1,665,326 2,497,989 4,995,978

Collatz Trajectory (162 steps to reach 1)

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

4,995,978 2,497,989 7,493,968 3,746,984 1,873,492 936,746 468,373 1,405,120 702,560 351,280 175,640 87,820 43,910 21,955 65,866 32,933 98,800 49,400 24,700 12,350 6,175 18,526 9,263 27,790 13,895 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285

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