7,201,335

3 × 5 × 197 × 2437

7,201,335 factors as 3 × 5 × 197 × 2437. Its 16 positive divisors give a proper-divisor sum of 4,384,041, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3 × 5 × 197 × 2437

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,585,376

Proper Divisor Sum 4,384,041

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7201307 ← → #7201351

Radix Representation

Decimal	7201335
Binary	11011011110001000110111 (23 bits)
Octal	0o33361067
Hexadecimal	0x6DE237

Divisor Catalog (16)

1 3 5 15 197 591 985 2,437 2,955 7,311 12,185 36,555 480,089 1,440,267 2,400,445 7,201,335

Collatz Trajectory (204 steps to reach 1)

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

7,201,335 21,604,006 10,802,003 32,406,010 16,203,005 48,609,016 24,304,508 12,152,254 6,076,127 18,228,382 9,114,191 27,342,574 13,671,287 41,013,862 20,506,931 61,520,794 30,760,397 92,281,192 46,140,596 23,070,298 11,535,149 34,605,448 17,302,724 8,651,362 4,325,681 12,977,044 6,488,522 3,244,261 9,732,784 4,866,392 2,433,196 1,216,598 608,299 1,824,898 912,449 2,737,348 1,368,674 684,337 2,053,012 1,026,506 513,253 1,539,760 769,880 384,940 192,470 96,235 288,706 144,353 433,060 216,530 108,265 324,796 162,398 81,199 243,598 121,799 365,398 182,699 548,098 274,049

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,201,334 Browse Full Index Next Integer #7,201,336 →