900,358

2 × 23³ × 37

900,358 factors as 2 × 23^3 × 37. Its 16 positive divisors give a proper-divisor sum of 549,722, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 23^3 × 37

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,450,080

Proper Divisor Sum 549,722

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #900349 ← → #900397

Radix Representation

Decimal	900358
Binary	11011011110100000110 (20 bits)
Octal	0o3336406
Hexadecimal	0xDBD06

Divisor Catalog (16)

1 2 23 37 46 74 529 851 1,058 1,702 12,167 19,573 24,334 39,146 450,179 900,358

Collatz Trajectory (113 steps to reach 1)

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

900,358 450,179 1,350,538 675,269 2,025,808 1,012,904 506,452 253,226 126,613 379,840 189,920 94,960 47,480 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958

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