λ
Sequence Observatory

7,677,359

7677359
Deficient Odd Prime

Starting at 7,677,359, the Collatz iteration reaches 1 after 72 steps. The first transition is 23032078; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7677359
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,677,360
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7677323 ← → #7677379

Radix Representation

Decimal 7677359
Binary 11101010010010110101111 (23 bits)
Octal 0o35222657
Hexadecimal 0x7525AF

Divisor Catalog (2)

Collatz Trajectory (72 steps to reach 1)

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

7,677,359 23,032,078 11,516,039 34,548,118 17,274,059 51,822,178 25,911,089 77,733,268 38,866,634 19,433,317 58,299,952 29,149,976 14,574,988 7,287,494 3,643,747 10,931,242 5,465,621 16,396,864 8,198,432 4,099,216 2,049,608 1,024,804 512,402 256,201 768,604 384,302 192,151 576,454 288,227 864,682 432,341 1,297,024 648,512 324,256 162,128 81,064 40,532 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226

More profiles

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