4,732,268

2² × 277 × 4271

Starting at 4,732,268, the Collatz iteration reaches 1 after 237 steps. The first transition is 2366134; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 277 × 4271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,313,312

Proper Divisor Sum 3,581,044

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4732241 ← → #4732271

Radix Representation

Decimal	4732268
Binary	10010000011010101101100 (23 bits)
Octal	0o22032554
Hexadecimal	0x48356C

Divisor Catalog (12)

1 2 4 277 554 1,108 4,271 8,542 17,084 1,183,067 2,366,134 4,732,268

Collatz Trajectory (237 steps to reach 1)

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

4,732,268 2,366,134 1,183,067 3,549,202 1,774,601 5,323,804 2,661,902 1,330,951 3,992,854 1,996,427 5,989,282 2,994,641 8,983,924 4,491,962 2,245,981 6,737,944 3,368,972 1,684,486 842,243 2,526,730 1,263,365 3,790,096 1,895,048 947,524 473,762 236,881 710,644 355,322 177,661 532,984 266,492 133,246 66,623 199,870 99,935 299,806 149,903 449,710 224,855 674,566 337,283 1,011,850 505,925 1,517,776 758,888 379,444 189,722 94,861 284,584 142,292 71,146 35,573 106,720 53,360 26,680 13,340 6,670 3,335 10,006 5,003

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