8,531,152

2⁴ × 7 × 19² × 211

Starting at 8,531,152, the Collatz iteration reaches 1 after 62 steps. The first transition is 4265576; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 19^2 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 20,031,456

Proper Divisor Sum 11,500,304

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8531141 ← → #8531153

Radix Representation

Decimal	8531152
Binary	100000100010110011010000 (24 bits)
Octal	0o40426320
Hexadecimal	0x822CD0

Divisor Catalog (60)

1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 211 266 304 361 422 532 722 844 1,064 1,444 1,477 1,688 2,128 2,527 2,888 2,954 3,376 4,009 5,054 5,776 5,908 8,018 10,108 11,816 16,036 20,216 23,632 28,063 32,072 40,432 56,126 64,144 76,171 112,252 152,342 224,504 304,684 449,008 533,197 609,368 1,066,394 1,218,736 2,132,788 4,265,576 8,531,152

Collatz Trajectory (62 steps to reach 1)

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

8,531,152 4,265,576 2,132,788 1,066,394 533,197 1,599,592 799,796 399,898 199,949 599,848 299,924 149,962 74,981 224,944 112,472 56,236 28,118 14,059 42,178 21,089 63,268 31,634 15,817 47,452 23,726 11,863 35,590 17,795 53,386 26,693 80,080 40,040 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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