3,796,977

3 × 37 × 79 × 433

Starting at 3,796,977, the Collatz iteration reaches 1 after 102 steps. The first transition is 11390932; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 79 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,277,440

Proper Divisor Sum 1,480,463

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #3796963 ← → #3796997

Radix Representation

Decimal	3796977
Binary	1110011110111111110001 (22 bits)
Octal	0o16367761
Hexadecimal	0x39EFF1

Divisor Catalog (16)

1 3 37 79 111 237 433 1,299 2,923 8,769 16,021 34,207 48,063 102,621 1,265,659 3,796,977

Collatz Trajectory (102 steps to reach 1)

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

3,796,977 11,390,932 5,695,466 2,847,733 8,543,200 4,271,600 2,135,800 1,067,900 533,950 266,975 800,926 400,463 1,201,390 600,695 1,802,086 901,043 2,703,130 1,351,565 4,054,696 2,027,348 1,013,674 506,837 1,520,512 760,256 380,128 190,064 95,032 47,516 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088

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