6,988,436

2² × 7 × 13 × 73 × 263

Starting at 6,988,436, the Collatz iteration reaches 1 after 178 steps. The first transition is 3494218; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 73 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,316,224

Proper Divisor Sum 8,327,788

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #6988427 ← → #6988439

Radix Representation

Decimal	6988436
Binary	11010101010001010010100 (23 bits)
Octal	0o32521224
Hexadecimal	0x6AA294

Divisor Catalog (48)

1 2 4 7 13 14 26 28 52 73 91 146 182 263 292 364 511 526 949 1,022 1,052 1,841 1,898 2,044 3,419 3,682 3,796 6,643 6,838 7,364 13,286 13,676 19,199 23,933 26,572 38,398 47,866 76,796 95,732 134,393 249,587 268,786 499,174 537,572 998,348 1,747,109 3,494,218 6,988,436

Collatz Trajectory (178 steps to reach 1)

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

6,988,436 3,494,218 1,747,109 5,241,328 2,620,664 1,310,332 655,166 327,583 982,750 491,375 1,474,126 737,063 2,211,190 1,105,595 3,316,786 1,658,393 4,975,180 2,487,590 1,243,795 3,731,386 1,865,693 5,597,080 2,798,540 1,399,270 699,635 2,098,906 1,049,453 3,148,360 1,574,180 787,090 393,545 1,180,636 590,318 295,159 885,478 442,739 1,328,218 664,109 1,992,328 996,164 498,082 249,041 747,124 373,562 186,781 560,344 280,172 140,086 70,043 210,130 105,065 315,196 157,598 78,799 236,398 118,199 354,598 177,299 531,898 265,949

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