1,333,961

31 × 37 × 1163

Starting at 1,333,961, the Collatz iteration reaches 1 after 93 steps. The first transition is 4001884; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 37 × 1163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,415,424

Proper Divisor Sum 81,463

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1333949 ← → #1333963

Radix Representation

Decimal	1333961
Binary	101000101101011001001 (21 bits)
Octal	0o5055311
Hexadecimal	0x145AC9

Divisor Catalog (8)

1 31 37 1,147 1,163 36,053 43,031 1,333,961

Collatz Trajectory (93 steps to reach 1)

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

1,333,961 4,001,884 2,000,942 1,000,471 3,001,414 1,500,707 4,502,122 2,251,061 6,753,184 3,376,592 1,688,296 844,148 422,074 211,037 633,112 316,556 158,278 79,139 237,418 118,709 356,128 178,064 89,032 44,516 22,258 11,129 33,388 16,694 8,347 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464

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