7,828,370

2 × 5 × 11 × 71167

7,828,370 factors as 2 × 5 × 11 × 71167. Its 16 positive divisors give a proper-divisor sum of 7,543,918, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 71167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,372,288

Proper Divisor Sum 7,543,918

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7828369 ← → #7828391

Radix Representation

Decimal	7828370
Binary	11101110111001110010010 (23 bits)
Octal	0o35671622
Hexadecimal	0x777392

Divisor Catalog (16)

1 2 5 10 11 22 55 110 71,167 142,334 355,835 711,670 782,837 1,565,674 3,914,185 7,828,370

Collatz Trajectory (217 steps to reach 1)

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

7,828,370 3,914,185 11,742,556 5,871,278 2,935,639 8,806,918 4,403,459 13,210,378 6,605,189 19,815,568 9,907,784 4,953,892 2,476,946 1,238,473 3,715,420 1,857,710 928,855 2,786,566 1,393,283 4,179,850 2,089,925 6,269,776 3,134,888 1,567,444 783,722 391,861 1,175,584 587,792 293,896 146,948 73,474 36,737 110,212 55,106 27,553 82,660 41,330 20,665 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278

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