672,036

2² × 3 × 56003

Starting at 672,036, the Collatz iteration reaches 1 after 136 steps. The first transition is 336018; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 56003

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,568,112

Proper Divisor Sum 896,076

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #672029 ← → #672041

Radix Representation

Decimal	672036
Binary	10100100000100100100 (20 bits)
Octal	0o2440444
Hexadecimal	0xA4124

Divisor Catalog (12)

1 2 3 4 6 12 56,003 112,006 168,009 224,012 336,018 672,036

Collatz Trajectory (136 steps to reach 1)

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

672,036 336,018 168,009 504,028 252,014 126,007 378,022 189,011 567,034 283,517 850,552 425,276 212,638 106,319 318,958 159,479 478,438 239,219 717,658 358,829 1,076,488 538,244 269,122 134,561 403,684 201,842 100,921 302,764 151,382 75,691 227,074 113,537 340,612 170,306 85,153 255,460 127,730 63,865 191,596 95,798 47,899 143,698 71,849 215,548 107,774 53,887 161,662 80,831 242,494 121,247 363,742 181,871 545,614 272,807 818,422 409,211 1,227,634 613,817 1,841,452 920,726

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