4,537,624

2³ × 7 × 13 × 23 × 271

Starting at 4,537,624, the Collatz iteration reaches 1 after 87 steps. The first transition is 2268812; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 23 × 271

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,967,040

Proper Divisor Sum 6,429,416

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4537619 ← → #4537633

Radix Representation

Decimal	4537624
Binary	10001010011110100011000 (23 bits)
Octal	0o21236430
Hexadecimal	0x453D18

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 271 299 322 364 542 598 644 728 1,084 1,196 1,288 1,897 2,093 2,168 2,392 3,523 3,794 4,186 6,233 7,046 7,588 8,372 12,466 14,092 15,176 16,744 24,661 24,932 28,184 43,631 49,322 49,864 81,029 87,262 98,644 162,058 174,524 197,288 324,116 349,048 567,203

Collatz Trajectory (87 steps to reach 1)

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

4,537,624 2,268,812 1,134,406 567,203 1,701,610 850,805 2,552,416 1,276,208 638,104 319,052 159,526 79,763 239,290 119,645 358,936 179,468 89,734 44,867 134,602 67,301 201,904 100,952 50,476 25,238 12,619 37,858 18,929 56,788 28,394 14,197 42,592 21,296 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808

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