2,612,972

2² × 653243

2,612,972 factors as 2^2 × 653243. Its 6 positive divisors give a proper-divisor sum of 1,959,736, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 653243

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,572,708

Proper Divisor Sum 1,959,736

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2612969 ← → #2612983

Radix Representation

Decimal	2612972
Binary	1001111101111011101100 (22 bits)
Octal	0o11757354
Hexadecimal	0x27DEEC

Divisor Catalog (6)

1 2 4 653,243 1,306,486 2,612,972

Collatz Trajectory (94 steps to reach 1)

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

2,612,972 1,306,486 653,243 1,959,730 979,865 2,939,596 1,469,798 734,899 2,204,698 1,102,349 3,307,048 1,653,524 826,762 413,381 1,240,144 620,072 310,036 155,018 77,509 232,528 116,264 58,132 29,066 14,533 43,600 21,800 10,900 5,450 2,725 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768

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