10,072,827

3² × 23 × 48661

10,072,827 factors as 3^2 × 23 × 48661. Its 12 positive divisors give a proper-divisor sum of 5,109,717, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 48661

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,182,544

Proper Divisor Sum 5,109,717

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10072817 ← → #10072837

Radix Representation

Decimal	10072827
Binary	100110011011001011111011 (24 bits)
Octal	0o46331373
Hexadecimal	0x99B2FB

Divisor Catalog (12)

1 3 9 23 69 207 48,661 145,983 437,949 1,119,203 3,357,609 10,072,827

Collatz Trajectory (114 steps to reach 1)

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

10,072,827 30,218,482 15,109,241 45,327,724 22,663,862 11,331,931 33,995,794 16,997,897 50,993,692 25,496,846 12,748,423 38,245,270 19,122,635 57,367,906 28,683,953 86,051,860 43,025,930 21,512,965 64,538,896 32,269,448 16,134,724 8,067,362 4,033,681 12,101,044 6,050,522 3,025,261 9,075,784 4,537,892 2,268,946 1,134,473 3,403,420 1,701,710 850,855 2,552,566 1,276,283 3,828,850 1,914,425 5,743,276 2,871,638 1,435,819 4,307,458 2,153,729 6,461,188 3,230,594 1,615,297 4,845,892 2,422,946 1,211,473 3,634,420 1,817,210 908,605 2,725,816 1,362,908 681,454 340,727 1,022,182 511,091 1,533,274 766,637 2,299,912

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,072,826 Browse Full Index Next Integer #10,072,828 →