λ
Sequence Observatory

1,223,527

1223527
Deficient Odd Prime

Starting at 1,223,527, the Collatz iteration reaches 1 after 142 steps. The first transition is 3670582; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1223527
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,223,528
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1223491 ← → #1223533

Radix Representation

Decimal 1223527
Binary 100101010101101100111 (21 bits)
Octal 0o4525547
Hexadecimal 0x12AB67

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

1,223,527 3,670,582 1,835,291 5,505,874 2,752,937 8,258,812 4,129,406 2,064,703 6,194,110 3,097,055 9,291,166 4,645,583 13,936,750 6,968,375 20,905,126 10,452,563 31,357,690 15,678,845 47,036,536 23,518,268 11,759,134 5,879,567 17,638,702 8,819,351 26,458,054 13,229,027 39,687,082 19,843,541 59,530,624 29,765,312 14,882,656 7,441,328 3,720,664 1,860,332 930,166 465,083 1,395,250 697,625 2,092,876 1,046,438 523,219 1,569,658 784,829 2,354,488 1,177,244 588,622 294,311 882,934 441,467 1,324,402 662,201 1,986,604 993,302 496,651 1,489,954 744,977 2,234,932 1,117,466 558,733 1,676,200

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