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Atlas › Integer Profiles › Node 4,136,223

4,136,223

3 × 7 × 13 × 109 × 139
Deficient Odd Composite

4,136,223 factors as 3 × 7 × 13 × 109 × 139. Its 32 positive divisors give a proper-divisor sum of 2,762,977, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 109 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,899,200
Proper Divisor Sum 2,762,977
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4136221 ← → #4136239

Radix Representation

Decimal 4136223
Binary 1111110001110100011111 (22 bits)
Octal 0o17616437
Hexadecimal 0x3F1D1F

Divisor Catalog (32)

1 3 7 13 21 39 91 109 139 273 327 417 763 973 1,417 1,807 2,289 2,919 4,251 5,421 9,919 12,649 15,151 29,757 37,947 45,453 106,057 196,963 318,171 590,889 1,378,741 4,136,223

Collatz Trajectory (105 steps to reach 1)

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

4,136,223 12,408,670 6,204,335 18,613,006 9,306,503 27,919,510 13,959,755 41,879,266 20,939,633 62,818,900 31,409,450 15,704,725 47,114,176 23,557,088 11,778,544 5,889,272 2,944,636 1,472,318 736,159 2,208,478 1,104,239 3,312,718 1,656,359 4,969,078 2,484,539 7,453,618 3,726,809 11,180,428 5,590,214 2,795,107 8,385,322 4,192,661 12,577,984 6,288,992 3,144,496 1,572,248 786,124 393,062 196,531 589,594 294,797 884,392 442,196 221,098 110,549 331,648 165,824 82,912 41,456 20,728 10,364 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242

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