7,772,493

3 × 29 × 41 × 2179

Starting at 7,772,493, the Collatz iteration reaches 1 after 98 steps. The first transition is 23317480; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 41 × 2179

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,987,200

Proper Divisor Sum 3,214,707

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7772473 ← → #7772507

Radix Representation

Decimal	7772493
Binary	11101101001100101001101 (23 bits)
Octal	0o35514515
Hexadecimal	0x76994D

Divisor Catalog (16)

1 3 29 41 87 123 1,189 2,179 3,567 6,537 63,191 89,339 189,573 268,017 2,590,831 7,772,493

Collatz Trajectory (98 steps to reach 1)

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

7,772,493 23,317,480 11,658,740 5,829,370 2,914,685 8,744,056 4,372,028 2,186,014 1,093,007 3,279,022 1,639,511 4,918,534 2,459,267 7,377,802 3,688,901 11,066,704 5,533,352 2,766,676 1,383,338 691,669 2,075,008 1,037,504 518,752 259,376 129,688 64,844 32,422 16,211 48,634 24,317 72,952 36,476 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218

← Previous Integer #7,772,492 Browse Full Index Next Integer #7,772,494 →