7,105,504

2⁵ × 7 × 31721

7,105,504 factors as 2^5 × 7 × 31721. Its 24 positive divisors give a proper-divisor sum of 8,882,384, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 31721

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,987,888

Proper Divisor Sum 8,882,384

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7105499 ← → #7105513

Radix Representation

Decimal	7105504
Binary	11011000110101111100000 (23 bits)
Octal	0o33065740
Hexadecimal	0x6C6BE0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 31,721 63,442 126,884 222,047 253,768 444,094 507,536 888,188 1,015,072 1,776,376 3,552,752 7,105,504

Collatz Trajectory (160 steps to reach 1)

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

7,105,504 3,552,752 1,776,376 888,188 444,094 222,047 666,142 333,071 999,214 499,607 1,498,822 749,411 2,248,234 1,124,117 3,372,352 1,686,176 843,088 421,544 210,772 105,386 52,693 158,080 79,040 39,520 19,760 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214

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