7,201,784

2³ × 283 × 3181

7,201,784 factors as 2^3 × 283 × 3181. Its 16 positive divisors give a proper-divisor sum of 6,353,536, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^3 × 283 × 3181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,555,320

Proper Divisor Sum 6,353,536

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7201759 ← → #7201793

Radix Representation

Decimal	7201784
Binary	11011011110001111111000 (23 bits)
Octal	0o33361770
Hexadecimal	0x6DE3F8

Divisor Catalog (16)

1 2 4 8 283 566 1,132 2,264 3,181 6,362 12,724 25,448 900,223 1,800,446 3,600,892 7,201,784

Collatz Trajectory (204 steps to reach 1)

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

7,201,784 3,600,892 1,800,446 900,223 2,700,670 1,350,335 4,051,006 2,025,503 6,076,510 3,038,255 9,114,766 4,557,383 13,672,150 6,836,075 20,508,226 10,254,113 30,762,340 15,381,170 7,690,585 23,071,756 11,535,878 5,767,939 17,303,818 8,651,909 25,955,728 12,977,864 6,488,932 3,244,466 1,622,233 4,866,700 2,433,350 1,216,675 3,650,026 1,825,013 5,475,040 2,737,520 1,368,760 684,380 342,190 171,095 513,286 256,643 769,930 384,965 1,154,896 577,448 288,724 144,362 72,181 216,544 108,272 54,136 27,068 13,534 6,767 20,302 10,151 30,454 15,227 45,682

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,201,783 Browse Full Index Next Integer #7,201,785 →