1,062,152

2³ × 7 × 13 × 1459

Starting at 1,062,152, the Collatz iteration reaches 1 after 121 steps. The first transition is 531076; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 1459

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,452,800

Proper Divisor Sum 1,390,648

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1062121 ← → #1062169

Radix Representation

Decimal	1062152
Binary	100000011010100001000 (21 bits)
Octal	0o4032410
Hexadecimal	0x103508

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1,459 2,918 5,836 10,213 11,672 18,967 20,426 37,934 40,852 75,868 81,704 132,769 151,736 265,538 531,076 1,062,152

Collatz Trajectory (121 steps to reach 1)

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

1,062,152 531,076 265,538 132,769 398,308 199,154 99,577 298,732 149,366 74,683 224,050 112,025 336,076 168,038 84,019 252,058 126,029 378,088 189,044 94,522 47,261 141,784 70,892 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132

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