3,409,727

23 × 148249

3,409,727 factors as 23 × 148249. Its 4 positive divisors give a proper-divisor sum of 148,273, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 23 × 148249

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,558,000

Proper Divisor Sum 148,273

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3409711 ← → #3409729

Radix Representation

Decimal	3409727
Binary	1101000000011100111111 (22 bits)
Octal	0o15003477
Hexadecimal	0x34073F

Divisor Catalog (4)

1 23 148,249 3,409,727

Collatz Trajectory (221 steps to reach 1)

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

3,409,727 10,229,182 5,114,591 15,343,774 7,671,887 23,015,662 11,507,831 34,523,494 17,261,747 51,785,242 25,892,621 77,677,864 38,838,932 19,419,466 9,709,733 29,129,200 14,564,600 7,282,300 3,641,150 1,820,575 5,461,726 2,730,863 8,192,590 4,096,295 12,288,886 6,144,443 18,433,330 9,216,665 27,649,996 13,824,998 6,912,499 20,737,498 10,368,749 31,106,248 15,553,124 7,776,562 3,888,281 11,664,844 5,832,422 2,916,211 8,748,634 4,374,317 13,122,952 6,561,476 3,280,738 1,640,369 4,921,108 2,460,554 1,230,277 3,690,832 1,845,416 922,708 461,354 230,677 692,032 346,016 173,008 86,504 43,252 21,626

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