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3,580,005

3 × 5 × 11 × 13 × 1669
Deficient Odd Composite

3,580,005 factors as 3 × 5 × 11 × 13 × 1669. Its 32 positive divisors give a proper-divisor sum of 3,153,435, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 13 × 1669
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,733,440
Proper Divisor Sum 3,153,435
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3580001 ← → #3580067

Radix Representation

Decimal 3580005
Binary 1101101010000001100101 (22 bits)
Octal 0o15520145
Hexadecimal 0x36A065

Divisor Catalog (32)

1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 1,669 2,145 5,007 8,345 18,359 21,697 25,035 55,077 65,091 91,795 108,485 238,667 275,385 325,455 716,001 1,193,335 3,580,005

Collatz Trajectory (102 steps to reach 1)

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

3,580,005 10,740,016 5,370,008 2,685,004 1,342,502 671,251 2,013,754 1,006,877 3,020,632 1,510,316 755,158 377,579 1,132,738 566,369 1,699,108 849,554 424,777 1,274,332 637,166 318,583 955,750 477,875 1,433,626 716,813 2,150,440 1,075,220 537,610 268,805 806,416 403,208 201,604 100,802 50,401 151,204 75,602 37,801 113,404 56,702 28,351 85,054 42,527 127,582 63,791 191,374 95,687 287,062 143,531 430,594 215,297 645,892 322,946 161,473 484,420 242,210 121,105 363,316 181,658 90,829 272,488 136,244

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