3,372,192

2⁵ × 3⁴ × 1301

Starting at 3,372,192, the Collatz iteration reaches 1 after 107 steps. The first transition is 1686096; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^4 × 1301

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 9,925,146

Proper Divisor Sum 6,552,954

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3372179 ← → #3372197

Radix Representation

Decimal	3372192
Binary	1100110111010010100000 (22 bits)
Octal	0o14672240
Hexadecimal	0x3374A0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1,296 1,301 2,592 2,602 3,903 5,204 7,806 10,408 11,709 15,612 20,816 23,418 31,224 35,127 41,632 46,836 62,448 70,254 93,672 105,381 124,896 140,508 187,344 210,762 281,016 374,688 421,524 562,032 843,048 1,124,064 1,686,096 3,372,192

Collatz Trajectory (107 steps to reach 1)

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

3,372,192 1,686,096 843,048 421,524 210,762 105,381 316,144 158,072 79,036 39,518 19,759 59,278 29,639 88,918 44,459 133,378 66,689 200,068 100,034 50,017 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392

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