3,410,264

2³ × 11² × 13 × 271

3,410,264 has digital root 2. The neighboring primes are 3410261 and 3410269; its proper-divisor sum differs from the starting integer by 776,432.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 13 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,596,960

Proper Divisor Sum 4,186,696

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3410261 ← → #3410269

Radix Representation

Decimal	3410264
Binary	1101000000100101011000 (22 bits)
Octal	0o15004530
Hexadecimal	0x340958

Divisor Catalog (48)

1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 271 286 484 542 572 968 1,084 1,144 1,573 2,168 2,981 3,146 3,523 5,962 6,292 7,046 11,924 12,584 14,092 23,848 28,184 32,791 38,753 65,582 77,506 131,164 155,012 262,328 310,024 426,283 852,566 1,705,132 3,410,264

Collatz Trajectory (213 steps to reach 1)

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

3,410,264 1,705,132 852,566 426,283 1,278,850 639,425 1,918,276 959,138 479,569 1,438,708 719,354 359,677 1,079,032 539,516 269,758 134,879 404,638 202,319 606,958 303,479 910,438 455,219 1,365,658 682,829 2,048,488 1,024,244 512,122 256,061 768,184 384,092 192,046 96,023 288,070 144,035 432,106 216,053 648,160 324,080 162,040 81,020 40,510 20,255 60,766 30,383 91,150 45,575 136,726 68,363 205,090 102,545 307,636 153,818 76,909 230,728 115,364 57,682 28,841 86,524 43,262 21,631

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