5,040,971

13 × 401 × 967

5,040,971 has digital root 8. The neighboring primes are 5040961 and 5041007; its proper-divisor sum differs from the starting integer by -4,634,038.

Prime Factor Structure

Factorization String 13 × 401 × 967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,447,904

Proper Divisor Sum 406,933

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5040961 ← → #5041007

Radix Representation

Decimal	5040971
Binary	10011001110101101001011 (23 bits)
Octal	0o23165513
Hexadecimal	0x4CEB4B

Divisor Catalog (8)

1 13 401 967 5,213 12,571 387,767 5,040,971

Collatz Trajectory (113 steps to reach 1)

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

5,040,971 15,122,914 7,561,457 22,684,372 11,342,186 5,671,093 17,013,280 8,506,640 4,253,320 2,126,660 1,063,330 531,665 1,594,996 797,498 398,749 1,196,248 598,124 299,062 149,531 448,594 224,297 672,892 336,446 168,223 504,670 252,335 757,006 378,503 1,135,510 567,755 1,703,266 851,633 2,554,900 1,277,450 638,725 1,916,176 958,088 479,044 239,522 119,761 359,284 179,642 89,821 269,464 134,732 67,366 33,683 101,050 50,525 151,576 75,788 37,894 18,947 56,842 28,421 85,264 42,632 21,316 10,658 5,329

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