4,720,419

3² × 11 × 47681

Starting at 4,720,419, the Collatz iteration reaches 1 after 224 steps. The first transition is 14161258; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 47681

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,438,392

Proper Divisor Sum 2,717,973

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4720403 ← → #4720427

Radix Representation

Decimal	4720419
Binary	10010000000011100100011 (23 bits)
Octal	0o22003443
Hexadecimal	0x480723

Divisor Catalog (12)

1 3 9 11 33 99 47,681 143,043 429,129 524,491 1,573,473 4,720,419

Collatz Trajectory (224 steps to reach 1)

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

4,720,419 14,161,258 7,080,629 21,241,888 10,620,944 5,310,472 2,655,236 1,327,618 663,809 1,991,428 995,714 497,857 1,493,572 746,786 373,393 1,120,180 560,090 280,045 840,136 420,068 210,034 105,017 315,052 157,526 78,763 236,290 118,145 354,436 177,218 88,609 265,828 132,914 66,457 199,372 99,686 49,843 149,530 74,765 224,296 112,148 56,074 28,037 84,112 42,056 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950

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