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Atlas › Integer Profiles › Node 4,532,130

4,532,130

2 × 32 × 5 × 37 × 1361
Abundant Even Composite

4,532,130 factors as 2 × 3^2 × 5 × 37 × 1361. Its 48 positive divisors give a proper-divisor sum of 7,578,774, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 37 × 1361
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,110,904
Proper Divisor Sum 7,578,774
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4532123 ← → #4532137

Radix Representation

Decimal 4532130
Binary 10001010010011110100010 (23 bits)
Octal 0o21223642
Hexadecimal 0x4527A2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1,110 1,361 1,665 2,722 3,330 4,083 6,805 8,166 12,249 13,610 20,415 24,498 40,830 50,357 61,245 100,714 122,490 151,071 251,785 302,142 453,213 503,570 755,355 906,426 1,510,710 2,266,065 4,532,130

Collatz Trajectory (87 steps to reach 1)

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

4,532,130 2,266,065 6,798,196 3,399,098 1,699,549 5,098,648 2,549,324 1,274,662 637,331 1,911,994 955,997 2,867,992 1,433,996 716,998 358,499 1,075,498 537,749 1,613,248 806,624 403,312 201,656 100,828 50,414 25,207 75,622 37,811 113,434 56,717 170,152 85,076 42,538 21,269 63,808 31,904 15,952 7,976 3,988 1,994 997 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808

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