5,623,387

7² × 11 × 10433

Starting at 5,623,387, the Collatz iteration reaches 1 after 276 steps. The first transition is 16870162; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 11 × 10433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,136,856

Proper Divisor Sum 1,513,469

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5623367 ← → #5623393

Radix Representation

Decimal	5623387
Binary	10101011100111001011011 (23 bits)
Octal	0o25347133
Hexadecimal	0x55CE5B

Divisor Catalog (12)

1 7 11 49 77 539 10,433 73,031 114,763 511,217 803,341 5,623,387

Collatz Trajectory (276 steps to reach 1)

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

5,623,387 16,870,162 8,435,081 25,305,244 12,652,622 6,326,311 18,978,934 9,489,467 28,468,402 14,234,201 42,702,604 21,351,302 10,675,651 32,026,954 16,013,477 48,040,432 24,020,216 12,010,108 6,005,054 3,002,527 9,007,582 4,503,791 13,511,374 6,755,687 20,267,062 10,133,531 30,400,594 15,200,297 45,600,892 22,800,446 11,400,223 34,200,670 17,100,335 51,301,006 25,650,503 76,951,510 38,475,755 115,427,266 57,713,633 173,140,900 86,570,450 43,285,225 129,855,676 64,927,838 32,463,919 97,391,758 48,695,879 146,087,638 73,043,819 219,131,458 109,565,729 328,697,188 164,348,594 82,174,297 246,522,892 123,261,446 61,630,723 184,892,170 92,446,085 277,338,256

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