4,689,735

3 × 5 × 29 × 10781

Starting at 4,689,735, the Collatz iteration reaches 1 after 224 steps. The first transition is 14069206; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 10781

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,763,040

Proper Divisor Sum 3,073,305

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4689731 ← → #4689743

Radix Representation

Decimal	4689735
Binary	10001111000111101000111 (23 bits)
Octal	0o21707507
Hexadecimal	0x478F47

Divisor Catalog (16)

1 3 5 15 29 87 145 435 10,781 32,343 53,905 161,715 312,649 937,947 1,563,245 4,689,735

Collatz Trajectory (224 steps to reach 1)

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

4,689,735 14,069,206 7,034,603 21,103,810 10,551,905 31,655,716 15,827,858 7,913,929 23,741,788 11,870,894 5,935,447 17,806,342 8,903,171 26,709,514 13,354,757 40,064,272 20,032,136 10,016,068 5,008,034 2,504,017 7,512,052 3,756,026 1,878,013 5,634,040 2,817,020 1,408,510 704,255 2,112,766 1,056,383 3,169,150 1,584,575 4,753,726 2,376,863 7,130,590 3,565,295 10,695,886 5,347,943 16,043,830 8,021,915 24,065,746 12,032,873 36,098,620 18,049,310 9,024,655 27,073,966 13,536,983 40,610,950 20,305,475 60,916,426 30,458,213 91,374,640 45,687,320 22,843,660 11,421,830 5,710,915 17,132,746 8,566,373 25,699,120 12,849,560 6,424,780

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