5,013,240

2³ × 3 × 5 × 41777

Starting at 5,013,240, the Collatz iteration reaches 1 after 82 steps. The first transition is 2506620; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 41777

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,040,080

Proper Divisor Sum 10,026,840

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #5013221 ← → #5013247

Radix Representation

Decimal	5013240
Binary	10011000111111011111000 (23 bits)
Octal	0o23077370
Hexadecimal	0x4C7EF8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 41,777 83,554 125,331 167,108 208,885 250,662 334,216 417,770 501,324 626,655 835,540 1,002,648 1,253,310 1,671,080 2,506,620 5,013,240

Collatz Trajectory (82 steps to reach 1)

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

5,013,240 2,506,620 1,253,310 626,655 1,879,966 939,983 2,819,950 1,409,975 4,229,926 2,114,963 6,344,890 3,172,445 9,517,336 4,758,668 2,379,334 1,189,667 3,569,002 1,784,501 5,353,504 2,676,752 1,338,376 669,188 334,594 167,297 501,892 250,946 125,473 376,420 188,210 94,105 282,316 141,158 70,579 211,738 105,869 317,608 158,804 79,402 39,701 119,104 59,552 29,776 14,888 7,444 3,722 1,861 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148

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