7,242,585

3 × 5 × 7 × 23 × 2999

7,242,585 factors as 3 × 5 × 7 × 23 × 2999. Its 32 positive divisors give a proper-divisor sum of 6,581,415, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 23 × 2999

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,824,000

Proper Divisor Sum 6,581,415

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7242569 ← → #7242589

Radix Representation

Decimal	7242585
Binary	11011101000001101011001 (23 bits)
Octal	0o33501531
Hexadecimal	0x6E8359

Divisor Catalog (32)

Collatz Trajectory (116 steps to reach 1)

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

7,242,585 21,727,756 10,863,878 5,431,939 16,295,818 8,147,909 24,443,728 12,221,864 6,110,932 3,055,466 1,527,733 4,583,200 2,291,600 1,145,800 572,900 286,450 143,225 429,676 214,838 107,419 322,258 161,129 483,388 241,694 120,847 362,542 181,271 543,814 271,907 815,722 407,861 1,223,584 611,792 305,896 152,948 76,474 38,237 114,712 57,356 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277

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