1,196,073

3³ × 31 × 1429

Starting at 1,196,073, the Collatz iteration reaches 1 after 266 steps. The first transition is 3588220; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 31 × 1429

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,830,400

Proper Divisor Sum 634,327

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1196059 ← → #1196077

Radix Representation

Decimal	1196073
Binary	100100100000000101001 (21 bits)
Octal	0o4440051
Hexadecimal	0x124029

Divisor Catalog (16)

1 3 9 27 31 93 279 837 1,429 4,287 12,861 38,583 44,299 132,897 398,691 1,196,073

Collatz Trajectory (266 steps to reach 1)

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

1,196,073 3,588,220 1,794,110 897,055 2,691,166 1,345,583 4,036,750 2,018,375 6,055,126 3,027,563 9,082,690 4,541,345 13,624,036 6,812,018 3,406,009 10,218,028 5,109,014 2,554,507 7,663,522 3,831,761 11,495,284 5,747,642 2,873,821 8,621,464 4,310,732 2,155,366 1,077,683 3,233,050 1,616,525 4,849,576 2,424,788 1,212,394 606,197 1,818,592 909,296 454,648 227,324 113,662 56,831 170,494 85,247 255,742 127,871 383,614 191,807 575,422 287,711 863,134 431,567 1,294,702 647,351 1,942,054 971,027 2,913,082 1,456,541 4,369,624 2,184,812 1,092,406 546,203 1,638,610

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