1,273,461

3 × 7² × 8663

1,273,461 factors as 3 × 7^2 × 8663. Its 12 positive divisors give a proper-divisor sum of 701,931, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 8663

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,975,392

Proper Divisor Sum 701,931

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1273457 ← → #1273463

Radix Representation

Decimal	1273461
Binary	100110110111001110101 (21 bits)
Octal	0o4667165
Hexadecimal	0x136E75

Divisor Catalog (12)

1 3 7 21 49 147 8,663 25,989 60,641 181,923 424,487 1,273,461

Collatz Trajectory (124 steps to reach 1)

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

1,273,461 3,820,384 1,910,192 955,096 477,548 238,774 119,387 358,162 179,081 537,244 268,622 134,311 402,934 201,467 604,402 302,201 906,604 453,302 226,651 679,954 339,977 1,019,932 509,966 254,983 764,950 382,475 1,147,426 573,713 1,721,140 860,570 430,285 1,290,856 645,428 322,714 161,357 484,072 242,036 121,018 60,509 181,528 90,764 45,382 22,691 68,074 34,037 102,112 51,056 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080

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