4,727,792

2⁴ × 41 × 7207

4,727,792 factors as 2^4 × 41 × 7207. Its 20 positive divisors give a proper-divisor sum of 4,657,024, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 7207

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,384,816

Proper Divisor Sum 4,657,024

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4727791 ← → #4727797

Radix Representation

Decimal	4727792
Binary	10010000010001111110000 (23 bits)
Octal	0o22021760
Hexadecimal	0x4823F0

Divisor Catalog (20)

1 2 4 8 16 41 82 164 328 656 7,207 14,414 28,828 57,656 115,312 295,487 590,974 1,181,948 2,363,896 4,727,792

Collatz Trajectory (87 steps to reach 1)

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

4,727,792 2,363,896 1,181,948 590,974 295,487 886,462 443,231 1,329,694 664,847 1,994,542 997,271 2,991,814 1,495,907 4,487,722 2,243,861 6,731,584 3,365,792 1,682,896 841,448 420,724 210,362 105,181 315,544 157,772 78,886 39,443 118,330 59,165 177,496 88,748 44,374 22,187 66,562 33,281 99,844 49,922 24,961 74,884 37,442 18,721 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002

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