2,962,269

3² × 47² × 149

2,962,269 factors as 3^2 × 47^2 × 149. Its 18 positive divisors give a proper-divisor sum of 1,438,881, so this integer is deficient. The Collatz stopping time is 288 steps.

Prime Factor Structure

Factorization String 3^2 × 47^2 × 149

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 4,401,150

Proper Divisor Sum 1,438,881

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2962261 ← → #2962273

Radix Representation

Decimal	2962269
Binary	1011010011001101011101 (22 bits)
Octal	0o13231535
Hexadecimal	0x2D335D

Divisor Catalog (18)

1 3 9 47 141 149 423 447 1,341 2,209 6,627 7,003 19,881 21,009 63,027 329,141 987,423 2,962,269

Collatz Trajectory (288 steps to reach 1)

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

2,962,269 8,886,808 4,443,404 2,221,702 1,110,851 3,332,554 1,666,277 4,998,832 2,499,416 1,249,708 624,854 312,427 937,282 468,641 1,405,924 702,962 351,481 1,054,444 527,222 263,611 790,834 395,417 1,186,252 593,126 296,563 889,690 444,845 1,334,536 667,268 333,634 166,817 500,452 250,226 125,113 375,340 187,670 93,835 281,506 140,753 422,260 211,130 105,565 316,696 158,348 79,174 39,587 118,762 59,381 178,144 89,072 44,536 22,268 11,134 5,567 16,702 8,351 25,054 12,527 37,582 18,791

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