4,093,505

5 × 13 × 71 × 887

Starting at 4,093,505, the Collatz iteration reaches 1 after 110 steps. The first transition is 12280516; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 71 × 887

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,370,624

Proper Divisor Sum 1,277,119

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4093501 ← → #4093511

Radix Representation

Decimal	4093505
Binary	1111100111011001000001 (22 bits)
Octal	0o17473101
Hexadecimal	0x3E7641

Divisor Catalog (16)

1 5 13 65 71 355 887 923 4,435 4,615 11,531 57,655 62,977 314,885 818,701 4,093,505

Collatz Trajectory (110 steps to reach 1)

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

4,093,505 12,280,516 6,140,258 3,070,129 9,210,388 4,605,194 2,302,597 6,907,792 3,453,896 1,726,948 863,474 431,737 1,295,212 647,606 323,803 971,410 485,705 1,457,116 728,558 364,279 1,092,838 546,419 1,639,258 819,629 2,458,888 1,229,444 614,722 307,361 922,084 461,042 230,521 691,564 345,782 172,891 518,674 259,337 778,012 389,006 194,503 583,510 291,755 875,266 437,633 1,312,900 656,450 328,225 984,676 492,338 246,169 738,508 369,254 184,627 553,882 276,941 830,824 415,412 207,706 103,853 311,560 155,780

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