7,887,276

2² × 3² × 219091

Starting at 7,887,276, the Collatz iteration reaches 1 after 124 steps. The first transition is 3943638; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 219091

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 19,937,372

Proper Divisor Sum 12,050,096

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7887263 ← → #7887311

Radix Representation

Decimal	7887276
Binary	11110000101100110101100 (23 bits)
Octal	0o36054654
Hexadecimal	0x7859AC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 219,091 438,182 657,273 876,364 1,314,546 1,971,819 2,629,092 3,943,638 7,887,276

Collatz Trajectory (124 steps to reach 1)

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

7,887,276 3,943,638 1,971,819 5,915,458 2,957,729 8,873,188 4,436,594 2,218,297 6,654,892 3,327,446 1,663,723 4,991,170 2,495,585 7,486,756 3,743,378 1,871,689 5,615,068 2,807,534 1,403,767 4,211,302 2,105,651 6,316,954 3,158,477 9,475,432 4,737,716 2,368,858 1,184,429 3,553,288 1,776,644 888,322 444,161 1,332,484 666,242 333,121 999,364 499,682 249,841 749,524 374,762 187,381 562,144 281,072 140,536 70,268 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166

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