7,338,824

2³ × 917353

Starting at 7,338,824, the Collatz iteration reaches 1 after 235 steps. The first transition is 3669412; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 917353

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,760,310

Proper Divisor Sum 6,421,486

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7338823 ← → #7338829

Radix Representation

Decimal	7338824
Binary	11011111111101101001000 (23 bits)
Octal	0o33775510
Hexadecimal	0x6FFB48

Divisor Catalog (8)

1 2 4 8 917,353 1,834,706 3,669,412 7,338,824

Collatz Trajectory (235 steps to reach 1)

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

7,338,824 3,669,412 1,834,706 917,353 2,752,060 1,376,030 688,015 2,064,046 1,032,023 3,096,070 1,548,035 4,644,106 2,322,053 6,966,160 3,483,080 1,741,540 870,770 435,385 1,306,156 653,078 326,539 979,618 489,809 1,469,428 734,714 367,357 1,102,072 551,036 275,518 137,759 413,278 206,639 619,918 309,959 929,878 464,939 1,394,818 697,409 2,092,228 1,046,114 523,057 1,569,172 784,586 392,293 1,176,880 588,440 294,220 147,110 73,555 220,666 110,333 331,000 165,500 82,750 41,375 124,126 62,063 186,190 93,095 279,286

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