7,754,304

2⁶ × 3 × 40387

Starting at 7,754,304, the Collatz iteration reaches 1 after 173 steps. The first transition is 3877152; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 40387

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 20,517,104

Proper Divisor Sum 12,762,800

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7754293 ← → #7754321

Radix Representation

Decimal	7754304
Binary	11101100101001001000000 (23 bits)
Octal	0o35451100
Hexadecimal	0x765240

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 40,387 80,774 121,161 161,548 242,322 323,096 484,644 646,192 969,288 1,292,384 1,938,576 2,584,768 3,877,152 7,754,304

Collatz Trajectory (173 steps to reach 1)

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

7,754,304 3,877,152 1,938,576 969,288 484,644 242,322 121,161 363,484 181,742 90,871 272,614 136,307 408,922 204,461 613,384 306,692 153,346 76,673 230,020 115,010 57,505 172,516 86,258 43,129 129,388 64,694 32,347 97,042 48,521 145,564 72,782 36,391 109,174 54,587 163,762 81,881 245,644 122,822 61,411 184,234 92,117 276,352 138,176 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201

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