8,229,356

2² × 19² × 41 × 139

Starting at 8,229,356, the Collatz iteration reaches 1 after 80 steps. The first transition is 4114678; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19^2 × 41 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 15,681,960

Proper Divisor Sum 7,452,604

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8229329 ← → #8229373

Radix Representation

Decimal	8229356
Binary	11111011001000111101100 (23 bits)
Octal	0o37310754
Hexadecimal	0x7D91EC

Divisor Catalog (36)

1 2 4 19 38 41 76 82 139 164 278 361 556 722 779 1,444 1,558 2,641 3,116 5,282 5,699 10,564 11,398 14,801 22,796 29,602 50,179 59,204 100,358 108,281 200,716 216,562 433,124 2,057,339 4,114,678 8,229,356

Collatz Trajectory (80 steps to reach 1)

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

8,229,356 4,114,678 2,057,339 6,172,018 3,086,009 9,258,028 4,629,014 2,314,507 6,943,522 3,471,761 10,415,284 5,207,642 2,603,821 7,811,464 3,905,732 1,952,866 976,433 2,929,300 1,464,650 732,325 2,196,976 1,098,488 549,244 274,622 137,311 411,934 205,967 617,902 308,951 926,854 463,427 1,390,282 695,141 2,085,424 1,042,712 521,356 260,678 130,339 391,018 195,509 586,528 293,264 146,632 73,316 36,658 18,329 54,988 27,494 13,747 41,242 20,621 61,864 30,932 15,466 7,733 23,200 11,600 5,800 2,900 1,450

← Previous Integer #8,229,355 Browse Full Index Next Integer #8,229,357 →