λ
Math Directory

7,747,315

5 × 1549463
Deficient Odd Composite

7,747,315 factors as 5 × 1549463. Its 4 positive divisors give a proper-divisor sum of 1,549,469, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 5 × 1549463
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,296,784
Proper Divisor Sum 1,549,469
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7747309 ← → #7747367

Radix Representation

Decimal 7747315
Binary 11101100011011011110011 (23 bits)
Octal 0o35433363
Hexadecimal 0x7636F3

Divisor Catalog (4)

1 5 1,549,463 7,747,315

Collatz Trajectory (186 steps to reach 1)

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

7,747,315 23,241,946 11,620,973 34,862,920 17,431,460 8,715,730 4,357,865 13,073,596 6,536,798 3,268,399 9,805,198 4,902,599 14,707,798 7,353,899 22,061,698 11,030,849 33,092,548 16,546,274 8,273,137 24,819,412 12,409,706 6,204,853 18,614,560 9,307,280 4,653,640 2,326,820 1,163,410 581,705 1,745,116 872,558 436,279 1,308,838 654,419 1,963,258 981,629 2,944,888 1,472,444 736,222 368,111 1,104,334 552,167 1,656,502 828,251 2,484,754 1,242,377 3,727,132 1,863,566 931,783 2,795,350 1,397,675 4,193,026 2,096,513 6,289,540 3,144,770 1,572,385 4,717,156 2,358,578 1,179,289 3,537,868 1,768,934

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