3,333,515

5 × 37² × 487

3,333,515 factors as 5 × 37^2 × 487. Its 12 positive divisors give a proper-divisor sum of 786,181, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 5 × 37^2 × 487

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,119,696

Proper Divisor Sum 786,181

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3333511 ← → #3333527

Radix Representation

Decimal	3333515
Binary	1100101101110110001011 (22 bits)
Octal	0o14556613
Hexadecimal	0x32DD8B

Divisor Catalog (12)

1 5 37 185 487 1,369 2,435 6,845 18,019 90,095 666,703 3,333,515

Collatz Trajectory (177 steps to reach 1)

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

3,333,515 10,000,546 5,000,273 15,000,820 7,500,410 3,750,205 11,250,616 5,625,308 2,812,654 1,406,327 4,218,982 2,109,491 6,328,474 3,164,237 9,492,712 4,746,356 2,373,178 1,186,589 3,559,768 1,779,884 889,942 444,971 1,334,914 667,457 2,002,372 1,001,186 500,593 1,501,780 750,890 375,445 1,126,336 563,168 281,584 140,792 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524

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