3,762,848

2⁵ × 17 × 6917

3,762,848 has digital root 2. The neighboring primes are 3762839 and 3762877; its proper-divisor sum differs from the starting integer by 319,316.

Prime Factor Structure

Factorization String 2^5 × 17 × 6917

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,845,012

Proper Divisor Sum 4,082,164

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3762839 ← → #3762877

Radix Representation

Decimal	3762848
Binary	1110010110101010100000 (22 bits)
Octal	0o16265240
Hexadecimal	0x396AA0

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 6,917 13,834 27,668 55,336 110,672 117,589 221,344 235,178 470,356 940,712 1,881,424 3,762,848

Collatz Trajectory (141 steps to reach 1)

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

3,762,848 1,881,424 940,712 470,356 235,178 117,589 352,768 176,384 88,192 44,096 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700

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