3,300,752

2⁴ × 7 × 13 × 2267

3,300,752 has digital root 2. The neighboring primes are 3300749 and 3300757; its proper-divisor sum differs from the starting integer by 1,272,992.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 2267

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 7,874,496

Proper Divisor Sum 4,573,744

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3300749 ← → #3300757

Radix Representation

Decimal	3300752
Binary	1100100101110110010000 (22 bits)
Octal	0o14456620
Hexadecimal	0x325D90

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 2,267 4,534 9,068 15,869 18,136 29,471 31,738 36,272 58,942 63,476 117,884 126,952 206,297 235,768 253,904 412,594 471,536 825,188 1,650,376 3,300,752

Collatz Trajectory (146 steps to reach 1)

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

3,300,752 1,650,376 825,188 412,594 206,297 618,892 309,446 154,723 464,170 232,085 696,256 348,128 174,064 87,032 43,516 21,758 10,879 32,638 16,319 48,958 24,479 73,438 36,719 110,158 55,079 165,238 82,619 247,858 123,929 371,788 185,894 92,947 278,842 139,421 418,264 209,132 104,566 52,283 156,850 78,425 235,276 117,638 58,819 176,458 88,229 264,688 132,344 66,172 33,086 16,543 49,630 24,815 74,446 37,223 111,670 55,835 167,506 83,753 251,260 125,630

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