1,071,973

7² × 131 × 167

Starting at 1,071,973, the Collatz iteration reaches 1 after 178 steps. The first transition is 3215920; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 131 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,264,032

Proper Divisor Sum 192,059

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1071943 ← → #1071977

Radix Representation

Decimal	1071973
Binary	100000101101101100101 (21 bits)
Octal	0o4055545
Hexadecimal	0x105B65

Divisor Catalog (12)

1 7 49 131 167 917 1,169 6,419 8,183 21,877 153,139 1,071,973

Collatz Trajectory (178 steps to reach 1)

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

1,071,973 3,215,920 1,607,960 803,980 401,990 200,995 602,986 301,493 904,480 452,240 226,120 113,060 56,530 28,265 84,796 42,398 21,199 63,598 31,799 95,398 47,699 143,098 71,549 214,648 107,324 53,662 26,831 80,494 40,247 120,742 60,371 181,114 90,557 271,672 135,836 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942 64,471 193,414 96,707 290,122 145,061 435,184 217,592 108,796 54,398 27,199 81,598 40,799

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