λ
Sequence Observatory

3,732,527

293 × 12739
Deficient Odd Composite

Starting at 3,732,527, the Collatz iteration reaches 1 after 340 steps. The first transition is 11197582; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 293 × 12739
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,745,560
Proper Divisor Sum 13,033
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3732511 ← → #3732551

Radix Representation

Decimal 3732527
Binary 1110001111010000101111 (22 bits)
Octal 0o16172057
Hexadecimal 0x38F42F

Divisor Catalog (4)

1 293 12,739 3,732,527

Collatz Trajectory (340 steps to reach 1)

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

3,732,527 11,197,582 5,598,791 16,796,374 8,398,187 25,194,562 12,597,281 37,791,844 18,895,922 9,447,961 28,343,884 14,171,942 7,085,971 21,257,914 10,628,957 31,886,872 15,943,436 7,971,718 3,985,859 11,957,578 5,978,789 17,936,368 8,968,184 4,484,092 2,242,046 1,121,023 3,363,070 1,681,535 5,044,606 2,522,303 7,566,910 3,783,455 11,350,366 5,675,183 17,025,550 8,512,775 25,538,326 12,769,163 38,307,490 19,153,745 57,461,236 28,730,618 14,365,309 43,095,928 21,547,964 10,773,982 5,386,991 16,160,974 8,080,487 24,241,462 12,120,731 36,362,194 18,181,097 54,543,292 27,271,646 13,635,823 40,907,470 20,453,735 61,361,206 30,680,603

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