1,307,803

7 × 23 × 8123

Starting at 1,307,803, the Collatz iteration reaches 1 after 199 steps. The first transition is 3923410; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 23 × 8123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,559,808

Proper Divisor Sum 252,005

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1307771 ← → #1307809

Radix Representation

Decimal	1307803
Binary	100111111010010011011 (21 bits)
Octal	0o4772233
Hexadecimal	0x13F49B

Divisor Catalog (8)

1 7 23 161 8,123 56,861 186,829 1,307,803

Collatz Trajectory (199 steps to reach 1)

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

1,307,803 3,923,410 1,961,705 5,885,116 2,942,558 1,471,279 4,413,838 2,206,919 6,620,758 3,310,379 9,931,138 4,965,569 14,896,708 7,448,354 3,724,177 11,172,532 5,586,266 2,793,133 8,379,400 4,189,700 2,094,850 1,047,425 3,142,276 1,571,138 785,569 2,356,708 1,178,354 589,177 1,767,532 883,766 441,883 1,325,650 662,825 1,988,476 994,238 497,119 1,491,358 745,679 2,237,038 1,118,519 3,355,558 1,677,779 5,033,338 2,516,669 7,550,008 3,775,004 1,887,502 943,751 2,831,254 1,415,627 4,246,882 2,123,441 6,370,324 3,185,162 1,592,581 4,777,744 2,388,872 1,194,436 597,218 298,609

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