7,272,800

2⁵ × 5² × 9091

Starting at 7,272,800, the Collatz iteration reaches 1 after 98 steps. The first transition is 3636400; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 9091

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 17,756,676

Proper Divisor Sum 10,483,876

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7272799 ← → #7272803

Radix Representation

Decimal	7272800
Binary	11011101111100101100000 (23 bits)
Octal	0o33574540
Hexadecimal	0x6EF960

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 9,091 18,182 36,364 45,455 72,728 90,910 145,456 181,820 227,275 290,912 363,640 454,550 727,280 909,100 1,454,560 1,818,200 3,636,400 7,272,800

Collatz Trajectory (98 steps to reach 1)

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

7,272,800 3,636,400 1,818,200 909,100 454,550 227,275 681,826 340,913 1,022,740 511,370 255,685 767,056 383,528 191,764 95,882 47,941 143,824 71,912 35,956 17,978 8,989 26,968 13,484 6,742 3,371 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294

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