3,680,192

2⁶ × 57503

3,680,192 factors as 2^6 × 57503. Its 14 positive divisors give a proper-divisor sum of 3,622,816, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^6 × 57503

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 7,303,008

Proper Divisor Sum 3,622,816

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3680153 ← → #3680203

Radix Representation

Decimal	3680192
Binary	1110000010011111000000 (22 bits)
Octal	0o16023700
Hexadecimal	0x3827C0

Divisor Catalog (14)

1 2 4 8 16 32 64 57,503 115,006 230,012 460,024 920,048 1,840,096 3,680,192

Collatz Trajectory (141 steps to reach 1)

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

3,680,192 1,840,096 920,048 460,024 230,012 115,006 57,503 172,510 86,255 258,766 129,383 388,150 194,075 582,226 291,113 873,340 436,670 218,335 655,006 327,503 982,510 491,255 1,473,766 736,883 2,210,650 1,105,325 3,315,976 1,657,988 828,994 414,497 1,243,492 621,746 310,873 932,620 466,310 233,155 699,466 349,733 1,049,200 524,600 262,300 131,150 65,575 196,726 98,363 295,090 147,545 442,636 221,318 110,659 331,978 165,989 497,968 248,984 124,492 62,246 31,123 93,370 46,685 140,056

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