1,978,951

13 × 191 × 797

Starting at 1,978,951, the Collatz iteration reaches 1 after 184 steps. The first transition is 5936854; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 191 × 797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,145,024

Proper Divisor Sum 166,073

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #1978927 ← → #1978981

Radix Representation

Decimal	1978951
Binary	111100011001001000111 (21 bits)
Octal	0o7431107
Hexadecimal	0x1E3247

Divisor Catalog (8)

1 13 191 797 2,483 10,361 152,227 1,978,951

Collatz Trajectory (184 steps to reach 1)

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

1,978,951 5,936,854 2,968,427 8,905,282 4,452,641 13,357,924 6,678,962 3,339,481 10,018,444 5,009,222 2,504,611 7,513,834 3,756,917 11,270,752 5,635,376 2,817,688 1,408,844 704,422 352,211 1,056,634 528,317 1,584,952 792,476 396,238 198,119 594,358 297,179 891,538 445,769 1,337,308 668,654 334,327 1,002,982 501,491 1,504,474 752,237 2,256,712 1,128,356 564,178 282,089 846,268 423,134 211,567 634,702 317,351 952,054 476,027 1,428,082 714,041 2,142,124 1,071,062 535,531 1,606,594 803,297 2,409,892 1,204,946 602,473 1,807,420 903,710 451,855

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