6,938,976

2⁵ × 3 × 11 × 6571

Starting at 6,938,976, the Collatz iteration reaches 1 after 235 steps. The first transition is 3469488; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 6571

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,873,728

Proper Divisor Sum 12,934,752

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #6938969 ← → #6938977

Radix Representation

Decimal	6938976
Binary	11010011110000101100000 (23 bits)
Octal	0o32360540
Hexadecimal	0x69E160

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1,056 6,571 13,142 19,713 26,284 39,426 52,568 72,281 78,852 105,136 144,562 157,704 210,272 216,843 289,124 315,408 433,686 578,248 630,816 867,372 1,156,496 1,734,744 2,312,992 3,469,488 6,938,976

Collatz Trajectory (235 steps to reach 1)

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

6,938,976 3,469,488 1,734,744 867,372 433,686 216,843 650,530 325,265 975,796 487,898 243,949 731,848 365,924 182,962 91,481 274,444 137,222 68,611 205,834 102,917 308,752 154,376 77,188 38,594 19,297 57,892 28,946 14,473 43,420 21,710 10,855 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337

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