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Atlas › Integer Profiles › Node 4,530,141

4,530,141

33 × 7 × 11 × 2179
Deficient Odd Composite

4,530,141 factors as 3^3 × 7 × 11 × 2179. Its 32 positive divisors give a proper-divisor sum of 3,841,059, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 2179
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,371,200
Proper Divisor Sum 3,841,059
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4530121 ← → #4530157

Radix Representation

Decimal 4530141
Binary 10001010001111111011101 (23 bits)
Octal 0o21217735
Hexadecimal 0x451FDD

Divisor Catalog (32)

1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2,079 2,179 6,537 15,253 19,611 23,969 45,759 58,833 71,907 137,277 167,783 215,721 411,831 503,349 647,163 1,510,047 4,530,141

Collatz Trajectory (87 steps to reach 1)

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

4,530,141 13,590,424 6,795,212 3,397,606 1,698,803 5,096,410 2,548,205 7,644,616 3,822,308 1,911,154 955,577 2,866,732 1,433,366 716,683 2,150,050 1,075,025 3,225,076 1,612,538 806,269 2,418,808 1,209,404 604,702 302,351 907,054 453,527 1,360,582 680,291 2,040,874 1,020,437 3,061,312 1,530,656 765,328 382,664 191,332 95,666 47,833 143,500 71,750 35,875 107,626 53,813 161,440 80,720 40,360 20,180 10,090 5,045 15,136 7,568 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800

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