λ
Sequence Observatory

4,704,436

22 × 11 × 31 × 3449
Deficient Even Composite

Starting at 4,704,436, the Collatz iteration reaches 1 after 149 steps. The first transition is 2352218; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 31 × 3449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,273,600
Proper Divisor Sum 4,569,164
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4704433 ← → #4704437

Radix Representation

Decimal 4704436
Binary 10001111100100010110100 (23 bits)
Octal 0o21744264
Hexadecimal 0x47C8B4

Divisor Catalog (24)

1 2 4 11 22 31 44 62 124 341 682 1,364 3,449 6,898 13,796 37,939 75,878 106,919 151,756 213,838 427,676 1,176,109 2,352,218 4,704,436

Collatz Trajectory (149 steps to reach 1)

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

4,704,436 2,352,218 1,176,109 3,528,328 1,764,164 882,082 441,041 1,323,124 661,562 330,781 992,344 496,172 248,086 124,043 372,130 186,065 558,196 279,098 139,549 418,648 209,324 104,662 52,331 156,994 78,497 235,492 117,746 58,873 176,620 88,310 44,155 132,466 66,233 198,700 99,350 49,675 149,026 74,513 223,540 111,770 55,885 167,656 83,828 41,914 20,957 62,872 31,436 15,718 7,859 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829

More profiles

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