7,126,805

5 × 7² × 19 × 1531

Starting at 7,126,805, the Collatz iteration reaches 1 after 98 steps. The first transition is 21380416; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 19 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,478,880

Proper Divisor Sum 3,352,075

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7126799 ← → #7126811

Radix Representation

Decimal	7126805
Binary	11011001011111100010101 (23 bits)
Octal	0o33137425
Hexadecimal	0x6CBF15

Divisor Catalog (24)

1 5 7 19 35 49 95 133 245 665 931 1,531 4,655 7,655 10,717 29,089 53,585 75,019 145,445 203,623 375,095 1,018,115 1,425,361 7,126,805

Collatz Trajectory (98 steps to reach 1)

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

7,126,805 21,380,416 10,690,208 5,345,104 2,672,552 1,336,276 668,138 334,069 1,002,208 501,104 250,552 125,276 62,638 31,319 93,958 46,979 140,938 70,469 211,408 105,704 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258

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