7,973,352

2³ × 3² × 37 × 41 × 73

7,973,352 factors as 2^3 × 3^2 × 37 × 41 × 73. Its 96 positive divisors give a proper-divisor sum of 15,056,928, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 37 × 41 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 23,030,280

Proper Divisor Sum 15,056,928

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7973351 ← → #7973353

Radix Representation

Decimal	7973352
Binary	11110011010100111101000 (23 bits)
Octal	0o36324750
Hexadecimal	0x79A9E8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 18 24 36 37 41 72 73 74 82 111 123 146 148 164 219 222 246 292 296 328 333 369 438 444 492 584 657 666 738 876 888 984 1,314 1,332 1,476 1,517 1,752 2,628 2,664 2,701 2,952 2,993 3,034 4,551 5,256 5,402 5,986 6,068 8,103 8,979 9,102 10,804

Collatz Trajectory (230 steps to reach 1)

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

7,973,352 3,986,676 1,993,338 996,669 2,990,008 1,495,004 747,502 373,751 1,121,254 560,627 1,681,882 840,941 2,522,824 1,261,412 630,706 315,353 946,060 473,030 236,515 709,546 354,773 1,064,320 532,160 266,080 133,040 66,520 33,260 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,973,351 Browse Full Index Next Integer #7,973,353 →