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Atlas › Integer Profiles › Node 3,097,602

3,097,602

2 × 34 × 19121
Abundant Even Composite

3,097,602 factors as 2 × 3^4 × 19121. Its 20 positive divisors give a proper-divisor sum of 3,843,684, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 19121
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,941,286
Proper Divisor Sum 3,843,684
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3097547 ← → #3097631

Radix Representation

Decimal 3097602
Binary 1011110100010000000010 (22 bits)
Octal 0o13642002
Hexadecimal 0x2F4402

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 19,121 38,242 57,363 114,726 172,089 344,178 516,267 1,032,534 1,548,801 3,097,602

Collatz Trajectory (89 steps to reach 1)

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

3,097,602 1,548,801 4,646,404 2,323,202 1,161,601 3,484,804 1,742,402 871,201 2,613,604 1,306,802 653,401 1,960,204 980,102 490,051 1,470,154 735,077 2,205,232 1,102,616 551,308 275,654 137,827 413,482 206,741 620,224 310,112 155,056 77,528 38,764 19,382 9,691 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280

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