7,552,184

2³ × 89 × 10607

Starting at 7,552,184, the Collatz iteration reaches 1 after 54 steps. The first transition is 3776092; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 89 × 10607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,320,800

Proper Divisor Sum 6,768,616

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7552183 ← → #7552187

Radix Representation

Decimal	7552184
Binary	11100110011110010111000 (23 bits)
Octal	0o34636270
Hexadecimal	0x733CB8

Divisor Catalog (16)

1 2 4 8 89 178 356 712 10,607 21,214 42,428 84,856 944,023 1,888,046 3,776,092 7,552,184

Collatz Trajectory (54 steps to reach 1)

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

7,552,184 3,776,092 1,888,046 944,023 2,832,070 1,416,035 4,248,106 2,124,053 6,372,160 3,186,080 1,593,040 796,520 398,260 199,130 99,565 298,696 149,348 74,674 37,337 112,012 56,006 28,003 84,010 42,005 126,016 63,008 31,504 15,752 7,876 3,938 1,969 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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