4,648,671

3⁴ × 29 × 1979

Starting at 4,648,671, the Collatz iteration reaches 1 after 255 steps. The first transition is 13946014; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 29 × 1979

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,187,400

Proper Divisor Sum 2,538,729

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4648663 ← → #4648681

Radix Representation

Decimal	4648671
Binary	10001101110111011011111 (23 bits)
Octal	0o21567337
Hexadecimal	0x46EEDF

Divisor Catalog (20)

1 3 9 27 29 81 87 261 783 1,979 2,349 5,937 17,811 53,433 57,391 160,299 172,173 516,519 1,549,557 4,648,671

Collatz Trajectory (255 steps to reach 1)

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

4,648,671 13,946,014 6,973,007 20,919,022 10,459,511 31,378,534 15,689,267 47,067,802 23,533,901 70,601,704 35,300,852 17,650,426 8,825,213 26,475,640 13,237,820 6,618,910 3,309,455 9,928,366 4,964,183 14,892,550 7,446,275 22,338,826 11,169,413 33,508,240 16,754,120 8,377,060 4,188,530 2,094,265 6,282,796 3,141,398 1,570,699 4,712,098 2,356,049 7,068,148 3,534,074 1,767,037 5,301,112 2,650,556 1,325,278 662,639 1,987,918 993,959 2,981,878 1,490,939 4,472,818 2,236,409 6,709,228 3,354,614 1,677,307 5,031,922 2,515,961 7,547,884 3,773,942 1,886,971 5,660,914 2,830,457 8,491,372 4,245,686 2,122,843 6,368,530

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