727,979

7 × 103997

727,979 factors as 7 × 103997. Its 4 positive divisors give a proper-divisor sum of 104,005, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 7 × 103997

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 831,984

Proper Divisor Sum 104,005

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #727949 ← → #727981

Radix Representation

Decimal	727979
Binary	10110001101110101011 (20 bits)
Octal	0o2615653
Hexadecimal	0xB1BAB

Divisor Catalog (4)

1 7 103,997 727,979

Collatz Trajectory (92 steps to reach 1)

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

727,979 2,183,938 1,091,969 3,275,908 1,637,954 818,977 2,456,932 1,228,466 614,233 1,842,700 921,350 460,675 1,382,026 691,013 2,073,040 1,036,520 518,260 259,130 129,565 388,696 194,348 97,174 48,587 145,762 72,881 218,644 109,322 54,661 163,984 81,992 40,996 20,498 10,249 30,748 15,374 7,687 23,062 11,531 34,594 17,297 51,892 25,946 12,973 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770

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