7,367,607

3² × 13 × 62971

7,367,607 factors as 3^2 × 13 × 62971. Its 12 positive divisors give a proper-divisor sum of 4,093,297, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 62971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,460,904

Proper Divisor Sum 4,093,297

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7367587 ← → #7367609

Radix Representation

Decimal	7367607
Binary	11100000110101110110111 (23 bits)
Octal	0o34065667
Hexadecimal	0x706BB7

Divisor Catalog (12)

1 3 9 13 39 117 62,971 188,913 566,739 818,623 2,455,869 7,367,607

Collatz Trajectory (67 steps to reach 1)

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

7,367,607 22,102,822 11,051,411 33,154,234 16,577,117 49,731,352 24,865,676 12,432,838 6,216,419 18,649,258 9,324,629 27,973,888 13,986,944 6,993,472 3,496,736 1,748,368 874,184 437,092 218,546 109,273 327,820 163,910 81,955 245,866 122,933 368,800 184,400 92,200 46,100 23,050 11,525 34,576 17,288 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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