7,240,150

2 × 5² × 89 × 1627

Starting at 7,240,150, the Collatz iteration reaches 1 after 129 steps. The first transition is 3620075; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 89 × 1627

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,626,360

Proper Divisor Sum 6,386,210

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7240139 ← → #7240153

Radix Representation

Decimal	7240150
Binary	11011100111100111010110 (23 bits)
Octal	0o33474726
Hexadecimal	0x6E79D6

Divisor Catalog (24)

1 2 5 10 25 50 89 178 445 890 1,627 2,225 3,254 4,450 8,135 16,270 40,675 81,350 144,803 289,606 724,015 1,448,030 3,620,075 7,240,150

Collatz Trajectory (129 steps to reach 1)

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

7,240,150 3,620,075 10,860,226 5,430,113 16,290,340 8,145,170 4,072,585 12,217,756 6,108,878 3,054,439 9,163,318 4,581,659 13,744,978 6,872,489 20,617,468 10,308,734 5,154,367 15,463,102 7,731,551 23,194,654 11,597,327 34,791,982 17,395,991 52,187,974 26,093,987 78,281,962 39,140,981 117,422,944 58,711,472 29,355,736 14,677,868 7,338,934 3,669,467 11,008,402 5,504,201 16,512,604 8,256,302 4,128,151 12,384,454 6,192,227 18,576,682 9,288,341 27,865,024 13,932,512 6,966,256 3,483,128 1,741,564 870,782 435,391 1,306,174 653,087 1,959,262 979,631 2,938,894 1,469,447 4,408,342 2,204,171 6,612,514 3,306,257 9,918,772

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