3,178,227

3 × 13 × 227 × 359

Starting at 3,178,227, the Collatz iteration reaches 1 after 146 steps. The first transition is 9534682; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 227 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,596,480

Proper Divisor Sum 1,418,253

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3178223 ← → #3178237

Radix Representation

Decimal	3178227
Binary	1100000111111011110011 (22 bits)
Octal	0o14077363
Hexadecimal	0x307EF3

Divisor Catalog (16)

1 3 13 39 227 359 681 1,077 2,951 4,667 8,853 14,001 81,493 244,479 1,059,409 3,178,227

Collatz Trajectory (146 steps to reach 1)

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

3,178,227 9,534,682 4,767,341 14,302,024 7,151,012 3,575,506 1,787,753 5,363,260 2,681,630 1,340,815 4,022,446 2,011,223 6,033,670 3,016,835 9,050,506 4,525,253 13,575,760 6,787,880 3,393,940 1,696,970 848,485 2,545,456 1,272,728 636,364 318,182 159,091 477,274 238,637 715,912 357,956 178,978 89,489 268,468 134,234 67,117 201,352 100,676 50,338 25,169 75,508 37,754 18,877 56,632 28,316 14,158 7,079 21,238 10,619 31,858 15,929 47,788 23,894 11,947 35,842 17,921 53,764 26,882 13,441 40,324 20,162

← Previous Integer #3,178,226 Browse Full Index Next Integer #3,178,228 →