λ
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Atlas › Integer Profiles › Node 38,339,450

38,339,450

2 × 52 × 29 × 137 × 193
Deficient Even Composite

38,339,450 factors as 2 × 5^2 × 29 × 137 × 193. Its 48 positive divisors give a proper-divisor sum of 36,354,430, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 29 × 137 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 74,693,880
Proper Divisor Sum 36,354,430
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #38339419 ← → #38339453

Radix Representation

Decimal 38339450
Binary 10010010010000001101111010 (26 bits)
Octal 0o222201572
Hexadecimal 0x249037A

Divisor Catalog (48)

1 2 5 10 25 29 50 58 137 145 193 274 290 386 685 725 965 1,370 1,450 1,930 3,425 3,973 4,825 5,597 6,850 7,946 9,650 11,194 19,865 26,441 27,985 39,730 52,882 55,970 99,325 132,205 139,925 198,650 264,410 279,850 661,025 766,789 1,322,050 1,533,578 3,833,945 7,667,890 19,169,725 38,339,450

Collatz Trajectory (95 steps to reach 1)

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

38,339,450 19,169,725 57,509,176 28,754,588 14,377,294 7,188,647 21,565,942 10,782,971 32,348,914 16,174,457 48,523,372 24,261,686 12,130,843 36,392,530 18,196,265 54,588,796 27,294,398 13,647,199 40,941,598 20,470,799 61,412,398 30,706,199 92,118,598 46,059,299 138,177,898 69,088,949 207,266,848 103,633,424 51,816,712 25,908,356 12,954,178 6,477,089 19,431,268 9,715,634 4,857,817 14,573,452 7,286,726 3,643,363 10,930,090 5,465,045 16,395,136 8,197,568 4,098,784 2,049,392 1,024,696 512,348 256,174 128,087 384,262 192,131 576,394 288,197 864,592 432,296 216,148 108,074 54,037 162,112 81,056 40,528

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