7,089,772

2² × 443 × 4001

Starting at 7,089,772, the Collatz iteration reaches 1 after 129 steps. The first transition is 3544886; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 443 × 4001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,438,216

Proper Divisor Sum 5,348,444

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7089769 ← → #7089779

Radix Representation

Decimal	7089772
Binary	11011000010111001101100 (23 bits)
Octal	0o33027154
Hexadecimal	0x6C2E6C

Divisor Catalog (12)

1 2 4 443 886 1,772 4,001 8,002 16,004 1,772,443 3,544,886 7,089,772

Collatz Trajectory (129 steps to reach 1)

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

7,089,772 3,544,886 1,772,443 5,317,330 2,658,665 7,975,996 3,987,998 1,993,999 5,981,998 2,990,999 8,972,998 4,486,499 13,459,498 6,729,749 20,189,248 10,094,624 5,047,312 2,523,656 1,261,828 630,914 315,457 946,372 473,186 236,593 709,780 354,890 177,445 532,336 266,168 133,084 66,542 33,271 99,814 49,907 149,722 74,861 224,584 112,292 56,146 28,073 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190 106,595 319,786 159,893 479,680 239,840 119,920 59,960 29,980 14,990 7,495

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