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Atlas › Integer Profiles › Node 3,676,098

3,676,098

2 × 3 × 29 × 37 × 571
Abundant Even Composite

3,676,098 factors as 2 × 3 × 29 × 37 × 571. Its 32 positive divisors give a proper-divisor sum of 4,148,862, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 37 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,824,960
Proper Divisor Sum 4,148,862
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3676093 ← → #3676103

Radix Representation

Decimal 3676098
Binary 1110000001011111000010 (22 bits)
Octal 0o16013702
Hexadecimal 0x3817C2

Divisor Catalog (32)

1 2 3 6 29 37 58 74 87 111 174 222 571 1,073 1,142 1,713 2,146 3,219 3,426 6,438 16,559 21,127 33,118 42,254 49,677 63,381 99,354 126,762 612,683 1,225,366 1,838,049 3,676,098

Collatz Trajectory (97 steps to reach 1)

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

3,676,098 1,838,049 5,514,148 2,757,074 1,378,537 4,135,612 2,067,806 1,033,903 3,101,710 1,550,855 4,652,566 2,326,283 6,978,850 3,489,425 10,468,276 5,234,138 2,617,069 7,851,208 3,925,604 1,962,802 981,401 2,944,204 1,472,102 736,051 2,208,154 1,104,077 3,312,232 1,656,116 828,058 414,029 1,242,088 621,044 310,522 155,261 465,784 232,892 116,446 58,223 174,670 87,335 262,006 131,003 393,010 196,505 589,516 294,758 147,379 442,138 221,069 663,208 331,604 165,802 82,901 248,704 124,352 62,176 31,088 15,544 7,772 3,886

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