3,762,056

2³ × 421 × 1117

3,762,056 factors as 2^3 × 421 × 1117. Its 16 positive divisors give a proper-divisor sum of 3,314,884, so this integer is deficient. The Collatz stopping time is 278 steps.

Prime Factor Structure

Factorization String 2^3 × 421 × 1117

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,076,940

Proper Divisor Sum 3,314,884

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3762047 ← → #3762061

Radix Representation

Decimal	3762056
Binary	1110010110011110001000 (22 bits)
Octal	0o16263610
Hexadecimal	0x396788

Divisor Catalog (16)

1 2 4 8 421 842 1,117 1,684 2,234 3,368 4,468 8,936 470,257 940,514 1,881,028 3,762,056

Collatz Trajectory (278 steps to reach 1)

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

3,762,056 1,881,028 940,514 470,257 1,410,772 705,386 352,693 1,058,080 529,040 264,520 132,260 66,130 33,065 99,196 49,598 24,799 74,398 37,199 111,598 55,799 167,398 83,699 251,098 125,549 376,648 188,324 94,162 47,081 141,244 70,622 35,311 105,934 52,967 158,902 79,451 238,354 119,177 357,532 178,766 89,383 268,150 134,075 402,226 201,113 603,340 301,670 150,835 452,506 226,253 678,760 339,380 169,690 84,845 254,536 127,268 63,634 31,817 95,452 47,726 23,863

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