7,342,836

2² × 3 × 611903

7,342,836 has digital root 6. The neighboring primes are 7342831 and 7342837; its proper-divisor sum differs from the starting integer by 2,447,640.

Prime Factor Structure

Factorization String 2^2 × 3 × 611903

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,133,312

Proper Divisor Sum 9,790,476

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7342831 ← → #7342837

Radix Representation

Decimal	7342836
Binary	11100000000101011110100 (23 bits)
Octal	0o34005364
Hexadecimal	0x700AF4

Divisor Catalog (12)

1 2 3 4 6 12 611,903 1,223,806 1,835,709 2,447,612 3,671,418 7,342,836

Collatz Trajectory (173 steps to reach 1)

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

7,342,836 3,671,418 1,835,709 5,507,128 2,753,564 1,376,782 688,391 2,065,174 1,032,587 3,097,762 1,548,881 4,646,644 2,323,322 1,161,661 3,484,984 1,742,492 871,246 435,623 1,306,870 653,435 1,960,306 980,153 2,940,460 1,470,230 735,115 2,205,346 1,102,673 3,308,020 1,654,010 827,005 2,481,016 1,240,508 620,254 310,127 930,382 465,191 1,395,574 697,787 2,093,362 1,046,681 3,140,044 1,570,022 785,011 2,355,034 1,177,517 3,532,552 1,766,276 883,138 441,569 1,324,708 662,354 331,177 993,532 496,766 248,383 745,150 372,575 1,117,726 558,863 1,676,590

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