4,200,759

3² × 466751

Starting at 4,200,759, the Collatz iteration reaches 1 after 185 steps. The first transition is 12602278; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 466751

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 6,067,776

Proper Divisor Sum 1,867,017

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4200739 ← → #4200761

Radix Representation

Decimal	4200759
Binary	10000000001100100110111 (23 bits)
Octal	0o20014467
Hexadecimal	0x401937

Divisor Catalog (6)

1 3 9 466,751 1,400,253 4,200,759

Collatz Trajectory (185 steps to reach 1)

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

4,200,759 12,602,278 6,301,139 18,903,418 9,451,709 28,355,128 14,177,564 7,088,782 3,544,391 10,633,174 5,316,587 15,949,762 7,974,881 23,924,644 11,962,322 5,981,161 17,943,484 8,971,742 4,485,871 13,457,614 6,728,807 20,186,422 10,093,211 30,279,634 15,139,817 45,419,452 22,709,726 11,354,863 34,064,590 17,032,295 51,096,886 25,548,443 76,645,330 38,322,665 114,967,996 57,483,998 28,741,999 86,225,998 43,112,999 129,338,998 64,669,499 194,008,498 97,004,249 291,012,748 145,506,374 72,753,187 218,259,562 109,129,781 327,389,344 163,694,672 81,847,336 40,923,668 20,461,834 10,230,917 30,692,752 15,346,376 7,673,188 3,836,594 1,918,297 5,754,892

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