2,104,133

83 × 101 × 251

Starting at 2,104,133, the Collatz iteration reaches 1 after 197 steps. The first transition is 6312400; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 83 × 101 × 251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,159,136

Proper Divisor Sum 55,003

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #2104129 ← → #2104139

Radix Representation

Decimal	2104133
Binary	1000000001101101000101 (22 bits)
Octal	0o10015505
Hexadecimal	0x201B45

Divisor Catalog (8)

1 83 101 251 8,383 20,833 25,351 2,104,133

Collatz Trajectory (197 steps to reach 1)

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

2,104,133 6,312,400 3,156,200 1,578,100 789,050 394,525 1,183,576 591,788 295,894 147,947 443,842 221,921 665,764 332,882 166,441 499,324 249,662 124,831 374,494 187,247 561,742 280,871 842,614 421,307 1,263,922 631,961 1,895,884 947,942 473,971 1,421,914 710,957 2,132,872 1,066,436 533,218 266,609 799,828 399,914 199,957 599,872 299,936 149,968 74,984 37,492 18,746 9,373 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225

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