7,426,338

2 × 3 × 89 × 13907

7,426,338 has digital root 6. The neighboring primes are 7426333 and 7426351; its proper-divisor sum differs from the starting integer by 167,964.

Prime Factor Structure

Factorization String 2 × 3 × 89 × 13907

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,020,640

Proper Divisor Sum 7,594,302

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7426333 ← → #7426351

Radix Representation

Decimal	7426338
Binary	11100010101000100100010 (23 bits)
Octal	0o34250442
Hexadecimal	0x715122

Divisor Catalog (16)

1 2 3 6 89 178 267 534 13,907 27,814 41,721 83,442 1,237,723 2,475,446 3,713,169 7,426,338

Collatz Trajectory (186 steps to reach 1)

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

7,426,338 3,713,169 11,139,508 5,569,754 2,784,877 8,354,632 4,177,316 2,088,658 1,044,329 3,132,988 1,566,494 783,247 2,349,742 1,174,871 3,524,614 1,762,307 5,286,922 2,643,461 7,930,384 3,965,192 1,982,596 991,298 495,649 1,486,948 743,474 371,737 1,115,212 557,606 278,803 836,410 418,205 1,254,616 627,308 313,654 156,827 470,482 235,241 705,724 352,862 176,431 529,294 264,647 793,942 396,971 1,190,914 595,457 1,786,372 893,186 446,593 1,339,780 669,890 334,945 1,004,836 502,418 251,209 753,628 376,814 188,407 565,222 282,611

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