7,719,050

2 × 5² × 263 × 587

Starting at 7,719,050, the Collatz iteration reaches 1 after 72 steps. The first transition is 3859525; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 263 × 587

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,436,576

Proper Divisor Sum 6,717,526

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7718993 ← → #7719067

Radix Representation

Decimal	7719050
Binary	11101011100100010001010 (23 bits)
Octal	0o35344212
Hexadecimal	0x75C88A

Divisor Catalog (24)

1 2 5 10 25 50 263 526 587 1,174 1,315 2,630 2,935 5,870 6,575 13,150 14,675 29,350 154,381 308,762 771,905 1,543,810 3,859,525 7,719,050

Collatz Trajectory (72 steps to reach 1)

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

7,719,050 3,859,525 11,578,576 5,789,288 2,894,644 1,447,322 723,661 2,170,984 1,085,492 542,746 271,373 814,120 407,060 203,530 101,765 305,296 152,648 76,324 38,162 19,081 57,244 28,622 14,311 42,934 21,467 64,402 32,201 96,604 48,302 24,151 72,454 36,227 108,682 54,341 163,024 81,512 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227

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