7,367,092

2² × 61 × 109 × 277

Starting at 7,367,092, the Collatz iteration reaches 1 after 279 steps. The first transition is 3683546; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 61 × 109 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,271,720

Proper Divisor Sum 5,904,628

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7367029 ← → #7367141

Radix Representation

Decimal	7367092
Binary	11100000110100110110100 (23 bits)
Octal	0o34064664
Hexadecimal	0x7069B4

Divisor Catalog (24)

1 2 4 61 109 122 218 244 277 436 554 1,108 6,649 13,298 16,897 26,596 30,193 33,794 60,386 67,588 120,772 1,841,773 3,683,546 7,367,092

Collatz Trajectory (279 steps to reach 1)

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

7,367,092 3,683,546 1,841,773 5,525,320 2,762,660 1,381,330 690,665 2,071,996 1,035,998 517,999 1,553,998 776,999 2,330,998 1,165,499 3,496,498 1,748,249 5,244,748 2,622,374 1,311,187 3,933,562 1,966,781 5,900,344 2,950,172 1,475,086 737,543 2,212,630 1,106,315 3,318,946 1,659,473 4,978,420 2,489,210 1,244,605 3,733,816 1,866,908 933,454 466,727 1,400,182 700,091 2,100,274 1,050,137 3,150,412 1,575,206 787,603 2,362,810 1,181,405 3,544,216 1,772,108 886,054 443,027 1,329,082 664,541 1,993,624 996,812 498,406 249,203 747,610 373,805 1,121,416 560,708 280,354

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