746,136

2³ × 3² × 43 × 241

746,136 has the prime decomposition 2^3 × 3^2 × 43 × 241. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 43 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,076,360

Proper Divisor Sum 1,330,224

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #746129 ← → #746153

Radix Representation

Decimal	746136
Binary	10110110001010011000 (20 bits)
Octal	0o2661230
Hexadecimal	0xB6298

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 241 258 344 387 482 516 723 774 964 1,032 1,446 1,548 1,928 2,169 2,892 3,096 4,338 5,784 8,676 10,363 17,352 20,726 31,089 41,452 62,178 82,904 93,267 124,356 186,534 248,712 373,068 746,136

Collatz Trajectory (118 steps to reach 1)

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

746,136 373,068 186,534 93,267 279,802 139,901 419,704 209,852 104,926 52,463 157,390 78,695 236,086 118,043 354,130 177,065 531,196 265,598 132,799 398,398 199,199 597,598 298,799 896,398 448,199 1,344,598 672,299 2,016,898 1,008,449 3,025,348 1,512,674 756,337 2,269,012 1,134,506 567,253 1,701,760 850,880 425,440 212,720 106,360 53,180 26,590 13,295 39,886 19,943 59,830 29,915 89,746 44,873 134,620 67,310 33,655 100,966 50,483 151,450 75,725 227,176 113,588 56,794 28,397

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