46,697

7² × 953

Starting at 46,697, the Collatz iteration reaches 1 after 132 steps. The first transition is 140092; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 953

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 54,378

Proper Divisor Sum 7,681

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #46691 ← → #46703

Radix Representation

Decimal	46697
Binary	1011011001101001 (16 bits)
Octal	0o133151
Hexadecimal	0xB669

Divisor Catalog (6)

1 7 49 953 6,671 46,697

Collatz Trajectory (132 steps to reach 1)

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

46,697 140,092 70,046 35,023 105,070 52,535 157,606 78,803 236,410 118,205 354,616 177,308 88,654 44,327 132,982 66,491 199,474 99,737 299,212 149,606 74,803 224,410 112,205 336,616 168,308 84,154 42,077 126,232 63,116 31,558 15,779 47,338 23,669 71,008 35,504 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781

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