λ
Sequence Observatory

7,372,207

541 × 13627
Deficient Odd Composite

Starting at 7,372,207, the Collatz iteration reaches 1 after 160 steps. The first transition is 22116622; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 541 × 13627
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,386,376
Proper Divisor Sum 14,169
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7372187 ← → #7372217

Radix Representation

Decimal 7372207
Binary 11100000111110110101111 (23 bits)
Octal 0o34076657
Hexadecimal 0x707DAF

Divisor Catalog (4)

1 541 13,627 7,372,207

Collatz Trajectory (160 steps to reach 1)

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

7,372,207 22,116,622 11,058,311 33,174,934 16,587,467 49,762,402 24,881,201 74,643,604 37,321,802 18,660,901 55,982,704 27,991,352 13,995,676 6,997,838 3,498,919 10,496,758 5,248,379 15,745,138 7,872,569 23,617,708 11,808,854 5,904,427 17,713,282 8,856,641 26,569,924 13,284,962 6,642,481 19,927,444 9,963,722 4,981,861 14,945,584 7,472,792 3,736,396 1,868,198 934,099 2,802,298 1,401,149 4,203,448 2,101,724 1,050,862 525,431 1,576,294 788,147 2,364,442 1,182,221 3,546,664 1,773,332 886,666 443,333 1,330,000 665,000 332,500 166,250 83,125 249,376 124,688 62,344 31,172 15,586 7,793

More profiles

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