4,735,968

2⁵ × 3 × 49333

Starting at 4,735,968, the Collatz iteration reaches 1 after 149 steps. The first transition is 2367984; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 49333

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,432,168

Proper Divisor Sum 7,696,200

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4735967 ← → #4735987

Radix Representation

Decimal	4735968
Binary	10010000100001111100000 (23 bits)
Octal	0o22041740
Hexadecimal	0x4843E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 49,333 98,666 147,999 197,332 295,998 394,664 591,996 789,328 1,183,992 1,578,656 2,367,984 4,735,968

Collatz Trajectory (149 steps to reach 1)

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

4,735,968 2,367,984 1,183,992 591,996 295,998 147,999 443,998 221,999 665,998 332,999 998,998 499,499 1,498,498 749,249 2,247,748 1,123,874 561,937 1,685,812 842,906 421,453 1,264,360 632,180 316,090 158,045 474,136 237,068 118,534 59,267 177,802 88,901 266,704 133,352 66,676 33,338 16,669 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050

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