742,627

37 × 20071

742,627 factors as 37 × 20071. Its 4 positive divisors give a proper-divisor sum of 20,109, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 37 × 20071

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 762,736

Proper Divisor Sum 20,109

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #742619 ← → #742657

Radix Representation

Decimal	742627
Binary	10110101010011100011 (20 bits)
Octal	0o2652343
Hexadecimal	0xB54E3

Divisor Catalog (4)

1 37 20,071 742,627

Collatz Trajectory (87 steps to reach 1)

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

742,627 2,227,882 1,113,941 3,341,824 1,670,912 835,456 417,728 208,864 104,432 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131

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