9,927,724

2² × 263 × 9437

9,927,724 factors as 2^2 × 263 × 9437. Its 12 positive divisors give a proper-divisor sum of 7,513,700, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 263 × 9437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,441,424

Proper Divisor Sum 7,513,700

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9927707 ← → #9927733

Radix Representation

Decimal	9927724
Binary	100101110111110000101100 (24 bits)
Octal	0o45676054
Hexadecimal	0x977C2C

Divisor Catalog (12)

1 2 4 263 526 1,052 9,437 18,874 37,748 2,481,931 4,963,862 9,927,724

Collatz Trajectory (176 steps to reach 1)

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

9,927,724 4,963,862 2,481,931 7,445,794 3,722,897 11,168,692 5,584,346 2,792,173 8,376,520 4,188,260 2,094,130 1,047,065 3,141,196 1,570,598 785,299 2,355,898 1,177,949 3,533,848 1,766,924 883,462 441,731 1,325,194 662,597 1,987,792 993,896 496,948 248,474 124,237 372,712 186,356 93,178 46,589 139,768 69,884 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #9,927,723 Browse Full Index Next Integer #9,927,725 →