7,315,015

5 × 17 × 41 × 2099

7,315,015 factors as 5 × 17 × 41 × 2099. Its 16 positive divisors give a proper-divisor sum of 2,210,585, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 5 × 17 × 41 × 2099

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,525,600

Proper Divisor Sum 2,210,585

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7315013 ← → #7315027

Radix Representation

Decimal	7315015
Binary	11011111001111001000111 (23 bits)
Octal	0o33717107
Hexadecimal	0x6F9E47

Divisor Catalog (16)

1 5 17 41 85 205 697 2,099 3,485 10,495 35,683 86,059 178,415 430,295 1,463,003 7,315,015

Collatz Trajectory (85 steps to reach 1)

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

7,315,015 21,945,046 10,972,523 32,917,570 16,458,785 49,376,356 24,688,178 12,344,089 37,032,268 18,516,134 9,258,067 27,774,202 13,887,101 41,661,304 20,830,652 10,415,326 5,207,663 15,622,990 7,811,495 23,434,486 11,717,243 35,151,730 17,575,865 52,727,596 26,363,798 13,181,899 39,545,698 19,772,849 59,318,548 29,659,274 14,829,637 44,488,912 22,244,456 11,122,228 5,561,114 2,780,557 8,341,672 4,170,836 2,085,418 1,042,709 3,128,128 1,564,064 782,032 391,016 195,508 97,754 48,877 146,632 73,316 36,658 18,329 54,988 27,494 13,747 41,242 20,621 61,864 30,932 15,466 7,733

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