λ
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Atlas › Integer Profiles › Node 7,200,215

7,200,215

5 × 11 × 31 × 41 × 103
Deficient Odd Composite

7,200,215 factors as 5 × 11 × 31 × 41 × 103. Its 32 positive divisors give a proper-divisor sum of 2,863,657, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 5 × 11 × 31 × 41 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,063,872
Proper Divisor Sum 2,863,657
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7200211 ← → #7200217

Radix Representation

Decimal 7200215
Binary 11011011101110111010111 (23 bits)
Octal 0o33356727
Hexadecimal 0x6DDDD7

Divisor Catalog (32)

1 5 11 31 41 55 103 155 205 341 451 515 1,133 1,271 1,705 2,255 3,193 4,223 5,665 6,355 13,981 15,965 21,115 35,123 46,453 69,905 130,913 175,615 232,265 654,565 1,440,043 7,200,215

Collatz Trajectory (191 steps to reach 1)

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

7,200,215 21,600,646 10,800,323 32,400,970 16,200,485 48,601,456 24,300,728 12,150,364 6,075,182 3,037,591 9,112,774 4,556,387 13,669,162 6,834,581 20,503,744 10,251,872 5,125,936 2,562,968 1,281,484 640,742 320,371 961,114 480,557 1,441,672 720,836 360,418 180,209 540,628 270,314 135,157 405,472 202,736 101,368 50,684 25,342 12,671 38,014 19,007 57,022 28,511 85,534 42,767 128,302 64,151 192,454 96,227 288,682 144,341 433,024 216,512 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613

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