3,772,565

5 × 754513

Starting at 3,772,565, the Collatz iteration reaches 1 after 110 steps. The first transition is 11317696; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 754513

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,527,084

Proper Divisor Sum 754,519

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3772547 ← → #3772577

Radix Representation

Decimal	3772565
Binary	1110011001000010010101 (22 bits)
Octal	0o16310225
Hexadecimal	0x399095

Divisor Catalog (4)

1 5 754,513 3,772,565

Collatz Trajectory (110 steps to reach 1)

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

3,772,565 11,317,696 5,658,848 2,829,424 1,414,712 707,356 353,678 176,839 530,518 265,259 795,778 397,889 1,193,668 596,834 298,417 895,252 447,626 223,813 671,440 335,720 167,860 83,930 41,965 125,896 62,948 31,474 15,737 47,212 23,606 11,803 35,410 17,705 53,116 26,558 13,279 39,838 19,919 59,758 29,879 89,638 44,819 134,458 67,229 201,688 100,844 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932

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