146,420

2² × 5 × 7321

146,420 has digital root 8. The neighboring primes are 146417 and 146423; its proper-divisor sum differs from the starting integer by 14,684.

Prime Factor Structure

Factorization String 2^2 × 5 × 7321

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 307,524

Proper Divisor Sum 161,104

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #146417 ← → #146423

Radix Representation

Decimal	146420
Binary	100011101111110100 (18 bits)
Octal	0o435764
Hexadecimal	0x23BF4

Divisor Catalog (12)

1 2 4 5 10 20 7,321 14,642 29,284 36,605 73,210 146,420

Collatz Trajectory (95 steps to reach 1)

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

146,420 73,210 36,605 109,816 54,908 27,454 13,727 41,182 20,591 61,774 30,887 92,662 46,331 138,994 69,497 208,492 104,246 52,123 156,370 78,185 234,556 117,278 58,639 175,918 87,959 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931

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