λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,101,438

37,101,438

2 × 32 × 11 × 23 × 8147
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 23 × 8147
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,518,336
Proper Divisor Sum 54,416,898
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #37101437 ← → #37101443

Radix Representation

Decimal 37101438
Binary 10001101100001111101111110 (26 bits)
Octal 0o215417576
Hexadecimal 0x2361F7E

Divisor Catalog (48)

1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1,518 2,277 4,554 8,147 16,294 24,441 48,882 73,323 89,617 146,646 179,234 187,381 268,851 374,762 537,702 562,143 806,553 1,124,286 1,613,106 1,686,429 2,061,191 3,372,858 4,122,382 6,183,573 12,367,146 18,550,719 37,101,438

Collatz Trajectory (196 steps to reach 1)

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

37,101,438 18,550,719 55,652,158 27,826,079 83,478,238 41,739,119 125,217,358 62,608,679 187,826,038 93,913,019 281,739,058 140,869,529 422,608,588 211,304,294 105,652,147 316,956,442 158,478,221 475,434,664 237,717,332 118,858,666 59,429,333 178,288,000 89,144,000 44,572,000 22,286,000 11,143,000 5,571,500 2,785,750 1,392,875 4,178,626 2,089,313 6,267,940 3,133,970 1,566,985 4,700,956 2,350,478 1,175,239 3,525,718 1,762,859 5,288,578 2,644,289 7,932,868 3,966,434 1,983,217 5,949,652 2,974,826 1,487,413 4,462,240 2,231,120 1,115,560 557,780 278,890 139,445 418,336 209,168 104,584 52,292 26,146 13,073 39,220

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #37,101,437 Browse Full Index Next Integer #37,101,439 →