7,761,544

2³ × 7 × 138599

Starting at 7,761,544, the Collatz iteration reaches 1 after 142 steps. The first transition is 3880772; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 138599

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,632,000

Proper Divisor Sum 8,870,456

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7761539 ← → #7761577

Radix Representation

Decimal	7761544
Binary	11101100110111010001000 (23 bits)
Octal	0o35467210
Hexadecimal	0x766E88

Divisor Catalog (16)

1 2 4 7 8 14 28 56 138,599 277,198 554,396 970,193 1,108,792 1,940,386 3,880,772 7,761,544

Collatz Trajectory (142 steps to reach 1)

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

7,761,544 3,880,772 1,940,386 970,193 2,910,580 1,455,290 727,645 2,182,936 1,091,468 545,734 272,867 818,602 409,301 1,227,904 613,952 306,976 153,488 76,744 38,372 19,186 9,593 28,780 14,390 7,195 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246

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