1,007,184

2⁴ × 3 × 20983

1,007,184 factors as 2^4 × 3 × 20983. Its 20 positive divisors give a proper-divisor sum of 1,594,832, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 20983

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,602,016

Proper Divisor Sum 1,594,832

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1007179 ← → #1007203

Radix Representation

Decimal	1007184
Binary	11110101111001010000 (20 bits)
Octal	0o3657120
Hexadecimal	0xF5E50

Divisor Catalog (20)

Collatz Trajectory (90 steps to reach 1)

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

1,007,184 503,592 251,796 125,898 62,949 188,848 94,424 47,212 23,606 11,803 35,410 17,705 53,116 26,558 13,279 39,838 19,919 59,758 29,879 89,638 44,819 134,458 67,229 201,688 100,844 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066

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