1,727,279

97 × 17807

Starting at 1,727,279, the Collatz iteration reaches 1 after 101 steps. The first transition is 5181838; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 97 × 17807

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,745,184

Proper Divisor Sum 17,905

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1727273 ← → #1727287

Radix Representation

Decimal	1727279
Binary	110100101101100101111 (21 bits)
Octal	0o6455457
Hexadecimal	0x1A5B2F

Divisor Catalog (4)

1 97 17,807 1,727,279

Collatz Trajectory (101 steps to reach 1)

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

1,727,279 5,181,838 2,590,919 7,772,758 3,886,379 11,659,138 5,829,569 17,488,708 8,744,354 4,372,177 13,116,532 6,558,266 3,279,133 9,837,400 4,918,700 2,459,350 1,229,675 3,689,026 1,844,513 5,533,540 2,766,770 1,383,385 4,150,156 2,075,078 1,037,539 3,112,618 1,556,309 4,668,928 2,334,464 1,167,232 583,616 291,808 145,904 72,952 36,476 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957

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