1,461,314

2 × 73 × 10009

Starting at 1,461,314, the Collatz iteration reaches 1 after 212 steps. The first transition is 730657; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 73 × 10009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,222,220

Proper Divisor Sum 760,906

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1461311 ← → #1461329

Radix Representation

Decimal	1461314
Binary	101100100110001000010 (21 bits)
Octal	0o5446102
Hexadecimal	0x164C42

Divisor Catalog (8)

1 2 73 146 10,009 20,018 730,657 1,461,314

Collatz Trajectory (212 steps to reach 1)

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

1,461,314 730,657 2,191,972 1,095,986 547,993 1,643,980 821,990 410,995 1,232,986 616,493 1,849,480 924,740 462,370 231,185 693,556 346,778 173,389 520,168 260,084 130,042 65,021 195,064 97,532 48,766 24,383 73,150 36,575 109,726 54,863 164,590 82,295 246,886 123,443 370,330 185,165 555,496 277,748 138,874 69,437 208,312 104,156 52,078 26,039 78,118 39,059 117,178 58,589 175,768 87,884 43,942 21,971 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618

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