7,524,380

2² × 5 × 19 × 19801

Starting at 7,524,380, the Collatz iteration reaches 1 after 155 steps. The first transition is 3762190; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 19801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,633,680

Proper Divisor Sum 9,109,300

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7524343 ← → #7524383

Radix Representation

Decimal	7524380
Binary	11100101101000000011100 (23 bits)
Octal	0o34550034
Hexadecimal	0x72D01C

Divisor Catalog (24)

1 2 4 5 10 19 20 38 76 95 190 380 19,801 39,602 79,204 99,005 198,010 376,219 396,020 752,438 1,504,876 1,881,095 3,762,190 7,524,380

Collatz Trajectory (155 steps to reach 1)

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

7,524,380 3,762,190 1,881,095 5,643,286 2,821,643 8,464,930 4,232,465 12,697,396 6,348,698 3,174,349 9,523,048 4,761,524 2,380,762 1,190,381 3,571,144 1,785,572 892,786 446,393 1,339,180 669,590 334,795 1,004,386 502,193 1,506,580 753,290 376,645 1,129,936 564,968 282,484 141,242 70,621 211,864 105,932 52,966 26,483 79,450 39,725 119,176 59,588 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958

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