7,364,196

2² × 3⁴ × 7 × 17 × 191

Starting at 7,364,196, the Collatz iteration reaches 1 after 142 steps. The first transition is 3682098; the starting value is even with 120 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 17 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 23,417,856

Proper Divisor Sum 16,053,660

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7364141 ← → #7364219

Radix Representation

Decimal	7364196
Binary	11100000101111001100100 (23 bits)
Octal	0o34057144
Hexadecimal	0x705E64

Divisor Catalog (60 of 120)

1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 191 204 238 252 306 324 357 378 382 459 476 567 573 612 714 756 764 918 1,071 1,134 1,146 1,337 1,377 1,428 1,719 1,836 2,142 2,268 2,292 2,674

Collatz Trajectory (142 steps to reach 1)

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

7,364,196 3,682,098 1,841,049 5,523,148 2,761,574 1,380,787 4,142,362 2,071,181 6,213,544 3,106,772 1,553,386 776,693 2,330,080 1,165,040 582,520 291,260 145,630 72,815 218,446 109,223 327,670 163,835 491,506 245,753 737,260 368,630 184,315 552,946 276,473 829,420 414,710 207,355 622,066 311,033 933,100 466,550 233,275 699,826 349,913 1,049,740 524,870 262,435 787,306 393,653 1,180,960 590,480 295,240 147,620 73,810 36,905 110,716 55,358 27,679 83,038 41,519 124,558 62,279 186,838 93,419 280,258

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