4,472,719

67 × 241 × 277

Starting at 4,472,719, the Collatz iteration reaches 1 after 136 steps. The first transition is 13418158; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 67 × 241 × 277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,574,768

Proper Divisor Sum 102,049

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4472701 ← → #4472747

Radix Representation

Decimal	4472719
Binary	10001000011111110001111 (23 bits)
Octal	0o21037617
Hexadecimal	0x443F8F

Divisor Catalog (8)

1 67 241 277 16,147 18,559 66,757 4,472,719

Collatz Trajectory (136 steps to reach 1)

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

4,472,719 13,418,158 6,709,079 20,127,238 10,063,619 30,190,858 15,095,429 45,286,288 22,643,144 11,321,572 5,660,786 2,830,393 8,491,180 4,245,590 2,122,795 6,368,386 3,184,193 9,552,580 4,776,290 2,388,145 7,164,436 3,582,218 1,791,109 5,373,328 2,686,664 1,343,332 671,666 335,833 1,007,500 503,750 251,875 755,626 377,813 1,133,440 566,720 283,360 141,680 70,840 35,420 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790

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