4,986,753

3 × 29 × 31 × 43²

Starting at 4,986,753, the Collatz iteration reaches 1 after 237 steps. The first transition is 14960260; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 31 × 43^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,269,120

Proper Divisor Sum 2,282,367

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4986719 ← → #4986767

Radix Representation

Decimal	4986753
Binary	10011000001011110000001 (23 bits)
Octal	0o23013601
Hexadecimal	0x4C1781

Divisor Catalog (24)

1 3 29 31 43 87 93 129 899 1,247 1,333 1,849 2,697 3,741 3,999 5,547 38,657 53,621 57,319 115,971 160,863 171,957 1,662,251 4,986,753

Collatz Trajectory (237 steps to reach 1)

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

4,986,753 14,960,260 7,480,130 3,740,065 11,220,196 5,610,098 2,805,049 8,415,148 4,207,574 2,103,787 6,311,362 3,155,681 9,467,044 4,733,522 2,366,761 7,100,284 3,550,142 1,775,071 5,325,214 2,662,607 7,987,822 3,993,911 11,981,734 5,990,867 17,972,602 8,986,301 26,958,904 13,479,452 6,739,726 3,369,863 10,109,590 5,054,795 15,164,386 7,582,193 22,746,580 11,373,290 5,686,645 17,059,936 8,529,968 4,264,984 2,132,492 1,066,246 533,123 1,599,370 799,685 2,399,056 1,199,528 599,764 299,882 149,941 449,824 224,912 112,456 56,228 28,114 14,057 42,172 21,086 10,543 31,630

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