658,674

2 × 3² × 23 × 37 × 43

658,674 factors as 2 × 3^2 × 23 × 37 × 43. Its 48 positive divisors give a proper-divisor sum of 906,318, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 37 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,564,992

Proper Divisor Sum 906,318

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #658663 ← → #658681

Radix Representation

Decimal	658674
Binary	10100000110011110010 (20 bits)
Octal	0o2406362
Hexadecimal	0xA0CF2

Divisor Catalog (48)

1 2 3 6 9 18 23 37 43 46 69 74 86 111 129 138 207 222 258 333 387 414 666 774 851 989 1,591 1,702 1,978 2,553 2,967 3,182 4,773 5,106 5,934 7,659 8,901 9,546 14,319 15,318 17,802 28,638 36,593 73,186 109,779 219,558 329,337 658,674

Collatz Trajectory (185 steps to reach 1)

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

658,674 329,337 988,012 494,006 247,003 741,010 370,505 1,111,516 555,758 277,879 833,638 416,819 1,250,458 625,229 1,875,688 937,844 468,922 234,461 703,384 351,692 175,846 87,923 263,770 131,885 395,656 197,828 98,914 49,457 148,372 74,186 37,093 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697

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