3,334,435

5 × 13 × 43 × 1193

Starting at 3,334,435, the Collatz iteration reaches 1 after 358 steps. The first transition is 10003306; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 43 × 1193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,413,024

Proper Divisor Sum 1,078,589

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3334411 ← → #3334451

Radix Representation

Decimal	3334435
Binary	1100101110000100100011 (22 bits)
Octal	0o14560443
Hexadecimal	0x32E123

Divisor Catalog (16)

1 5 13 43 65 215 559 1,193 2,795 5,965 15,509 51,299 77,545 256,495 666,887 3,334,435

Collatz Trajectory (358 steps to reach 1)

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

3,334,435 10,003,306 5,001,653 15,004,960 7,502,480 3,751,240 1,875,620 937,810 468,905 1,406,716 703,358 351,679 1,055,038 527,519 1,582,558 791,279 2,373,838 1,186,919 3,560,758 1,780,379 5,341,138 2,670,569 8,011,708 4,005,854 2,002,927 6,008,782 3,004,391 9,013,174 4,506,587 13,519,762 6,759,881 20,279,644 10,139,822 5,069,911 15,209,734 7,604,867 22,814,602 11,407,301 34,221,904 17,110,952 8,555,476 4,277,738 2,138,869 6,416,608 3,208,304 1,604,152 802,076 401,038 200,519 601,558 300,779 902,338 451,169 1,353,508 676,754 338,377 1,015,132 507,566 253,783 761,350

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