7,117,509

3 × 7 × 17 × 19937

7,117,509 factors as 3 × 7 × 17 × 19937. Its 16 positive divisors give a proper-divisor sum of 4,366,779, so this integer is deficient. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 19937

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,484,288

Proper Divisor Sum 4,366,779

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7117501 ← → #7117519

Radix Representation

Decimal	7117509
Binary	11011001001101011000101 (23 bits)
Octal	0o33115305
Hexadecimal	0x6C9AC5

Divisor Catalog (16)

1 3 7 17 21 51 119 357 19,937 59,811 139,559 338,929 418,677 1,016,787 2,372,503 7,117,509

Collatz Trajectory (54 steps to reach 1)

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

7,117,509 21,352,528 10,676,264 5,338,132 2,669,066 1,334,533 4,003,600 2,001,800 1,000,900 500,450 250,225 750,676 375,338 187,669 563,008 281,504 140,752 70,376 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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