5,139,890

2 × 5 × 7 × 101 × 727

Starting at 5,139,890, the Collatz iteration reaches 1 after 175 steps. The first transition is 2569945; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 101 × 727

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,692,864

Proper Divisor Sum 5,552,974

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5139881 ← → #5139907

Radix Representation

Decimal	5139890
Binary	10011100110110110110010 (23 bits)
Octal	0o23466662
Hexadecimal	0x4E6DB2

Divisor Catalog (32)

1 2 5 7 10 14 35 70 101 202 505 707 727 1,010 1,414 1,454 3,535 3,635 5,089 7,070 7,270 10,178 25,445 50,890 73,427 146,854 367,135 513,989 734,270 1,027,978 2,569,945 5,139,890

Collatz Trajectory (175 steps to reach 1)

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

5,139,890 2,569,945 7,709,836 3,854,918 1,927,459 5,782,378 2,891,189 8,673,568 4,336,784 2,168,392 1,084,196 542,098 271,049 813,148 406,574 203,287 609,862 304,931 914,794 457,397 1,372,192 686,096 343,048 171,524 85,762 42,881 128,644 64,322 32,161 96,484 48,242 24,121 72,364 36,182 18,091 54,274 27,137 81,412 40,706 20,353 61,060 30,530 15,265 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435

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