1,465,672

2³ × 13 × 17 × 829

Starting at 1,465,672, the Collatz iteration reaches 1 after 181 steps. The first transition is 732836; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 829

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,137,400

Proper Divisor Sum 1,671,728

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1465669 ← → #1465691

Radix Representation

Decimal	1465672
Binary	101100101110101001000 (21 bits)
Octal	0o5456510
Hexadecimal	0x165D48

Divisor Catalog (32)

1 2 4 8 13 17 26 34 52 68 104 136 221 442 829 884 1,658 1,768 3,316 6,632 10,777 14,093 21,554 28,186 43,108 56,372 86,216 112,744 183,209 366,418 732,836 1,465,672

Collatz Trajectory (181 steps to reach 1)

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

1,465,672 732,836 366,418 183,209 549,628 274,814 137,407 412,222 206,111 618,334 309,167 927,502 463,751 1,391,254 695,627 2,086,882 1,043,441 3,130,324 1,565,162 782,581 2,347,744 1,173,872 586,936 293,468 146,734 73,367 220,102 110,051 330,154 165,077 495,232 247,616 123,808 61,904 30,952 15,476 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552

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