λ
Ratio Atlas
Atlas › Integer Profiles › Node 35,046,472

35,046,472

23 × 41 × 59 × 1811
Deficient Even Composite

35,046,472 factors as 2^3 × 41 × 59 × 1811. Its 32 positive divisors give a proper-divisor sum of 33,447,128, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 59 × 1811
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,493,600
Proper Divisor Sum 33,447,128
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #35046449 ← → #35046527

Radix Representation

Decimal 35046472
Binary 10000101101100010001001000 (26 bits)
Octal 0o205542110
Hexadecimal 0x216C448

Divisor Catalog (32)

1 2 4 8 41 59 82 118 164 236 328 472 1,811 2,419 3,622 4,838 7,244 9,676 14,488 19,352 74,251 106,849 148,502 213,698 297,004 427,396 594,008 854,792 4,380,809 8,761,618 17,523,236 35,046,472

Collatz Trajectory (152 steps to reach 1)

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

35,046,472 17,523,236 8,761,618 4,380,809 13,142,428 6,571,214 3,285,607 9,856,822 4,928,411 14,785,234 7,392,617 22,177,852 11,088,926 5,544,463 16,633,390 8,316,695 24,950,086 12,475,043 37,425,130 18,712,565 56,137,696 28,068,848 14,034,424 7,017,212 3,508,606 1,754,303 5,262,910 2,631,455 7,894,366 3,947,183 11,841,550 5,920,775 17,762,326 8,881,163 26,643,490 13,321,745 39,965,236 19,982,618 9,991,309 29,973,928 14,986,964 7,493,482 3,746,741 11,240,224 5,620,112 2,810,056 1,405,028 702,514 351,257 1,053,772 526,886 263,443 790,330 395,165 1,185,496 592,748 296,374 148,187 444,562 222,281

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #35,046,471 Browse Full Index Next Integer #35,046,473 →