5,087,327

7² × 47³

5,087,327 factors as 7^2 × 47^3. Its 12 positive divisors give a proper-divisor sum of 959,233, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 7^2 × 47^3

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,046,560

Proper Divisor Sum 959,233

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5087323 ← → #5087351

Radix Representation

Decimal	5087327
Binary	10011011010000001011111 (23 bits)
Octal	0o23320137
Hexadecimal	0x4DA05F

Divisor Catalog (12)

1 7 47 49 329 2,209 2,303 15,463 103,823 108,241 726,761 5,087,327

Collatz Trajectory (131 steps to reach 1)

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

5,087,327 15,261,982 7,630,991 22,892,974 11,446,487 34,339,462 17,169,731 51,509,194 25,754,597 77,263,792 38,631,896 19,315,948 9,657,974 4,828,987 14,486,962 7,243,481 21,730,444 10,865,222 5,432,611 16,297,834 8,148,917 24,446,752 12,223,376 6,111,688 3,055,844 1,527,922 763,961 2,291,884 1,145,942 572,971 1,718,914 859,457 2,578,372 1,289,186 644,593 1,933,780 966,890 483,445 1,450,336 725,168 362,584 181,292 90,646 45,323 135,970 67,985 203,956 101,978 50,989 152,968 76,484 38,242 19,121 57,364 28,682 14,341 43,024 21,512 10,756 5,378

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