5,032,640

2⁶ × 5 × 15727

Starting at 5,032,640, the Collatz iteration reaches 1 after 157 steps. The first transition is 2516320; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5 × 15727

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 11,984,736

Proper Divisor Sum 6,952,096

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #5032613 ← → #5032649

Radix Representation

Decimal	5032640
Binary	10011001100101011000000 (23 bits)
Octal	0o23145300
Hexadecimal	0x4CCAC0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 15,727 31,454 62,908 78,635 125,816 157,270 251,632 314,540 503,264 629,080 1,006,528 1,258,160 2,516,320 5,032,640

Collatz Trajectory (157 steps to reach 1)

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

5,032,640 2,516,320 1,258,160 629,080 314,540 157,270 78,635 235,906 117,953 353,860 176,930 88,465 265,396 132,698 66,349 199,048 99,524 49,762 24,881 74,644 37,322 18,661 55,984 27,992 13,996 6,998 3,499 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954

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