4,733,815

5 × 29 × 32647

Starting at 4,733,815, the Collatz iteration reaches 1 after 237 steps. The first transition is 14201446; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 29 × 32647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,876,640

Proper Divisor Sum 1,142,825

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4733809 ← → #4733843

Radix Representation

Decimal	4733815
Binary	10010000011101101110111 (23 bits)
Octal	0o22035567
Hexadecimal	0x483B77

Divisor Catalog (8)

1 5 29 145 32,647 163,235 946,763 4,733,815

Collatz Trajectory (237 steps to reach 1)

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

4,733,815 14,201,446 7,100,723 21,302,170 10,651,085 31,953,256 15,976,628 7,988,314 3,994,157 11,982,472 5,991,236 2,995,618 1,497,809 4,493,428 2,246,714 1,123,357 3,370,072 1,685,036 842,518 421,259 1,263,778 631,889 1,895,668 947,834 473,917 1,421,752 710,876 355,438 177,719 533,158 266,579 799,738 399,869 1,199,608 599,804 299,902 149,951 449,854 224,927 674,782 337,391 1,012,174 506,087 1,518,262 759,131 2,277,394 1,138,697 3,416,092 1,708,046 854,023 2,562,070 1,281,035 3,843,106 1,921,553 5,764,660 2,882,330 1,441,165 4,323,496 2,161,748 1,080,874

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