λ
Sequence Observatory

792,703

792703
Deficient Odd Prime

Starting at 792,703, the Collatz iteration reaches 1 after 162 steps. The first transition is 2378110; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 792703
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 792,704
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #792697 ← → #792709

Radix Representation

Decimal 792703
Binary 11000001100001111111 (20 bits)
Octal 0o3014177
Hexadecimal 0xC187F

Divisor Catalog (2)

1 792,703

Collatz Trajectory (162 steps to reach 1)

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

792,703 2,378,110 1,189,055 3,567,166 1,783,583 5,350,750 2,675,375 8,026,126 4,013,063 12,039,190 6,019,595 18,058,786 9,029,393 27,088,180 13,544,090 6,772,045 20,316,136 10,158,068 5,079,034 2,539,517 7,618,552 3,809,276 1,904,638 952,319 2,856,958 1,428,479 4,285,438 2,142,719 6,428,158 3,214,079 9,642,238 4,821,119 14,463,358 7,231,679 21,695,038 10,847,519 32,542,558 16,271,279 48,813,838 24,406,919 73,220,758 36,610,379 109,831,138 54,915,569 164,746,708 82,373,354 41,186,677 123,560,032 61,780,016 30,890,008 15,445,004 7,722,502 3,861,251 11,583,754 5,791,877 17,375,632 8,687,816 4,343,908 2,171,954 1,085,977

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