4,724,967

3 × 13 × 97 × 1249

4,724,967 is odd and not a perfect square. Its factorization is 3 × 13 × 97 × 1249 and its 16 divisors sum to 6,860,000.

Prime Factor Structure

Factorization String 3 × 13 × 97 × 1249

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,860,000

Proper Divisor Sum 2,135,033

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4724953 ← → #4724981

Radix Representation

Decimal	4724967
Binary	10010000001100011100111 (23 bits)
Octal	0o22014347
Hexadecimal	0x4818E7

Divisor Catalog (16)

1 3 13 39 97 291 1,249 1,261 3,747 3,783 16,237 48,711 121,153 363,459 1,574,989 4,724,967

Collatz Trajectory (224 steps to reach 1)

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

4,724,967 14,174,902 7,087,451 21,262,354 10,631,177 31,893,532 15,946,766 7,973,383 23,920,150 11,960,075 35,880,226 17,940,113 53,820,340 26,910,170 13,455,085 40,365,256 20,182,628 10,091,314 5,045,657 15,136,972 7,568,486 3,784,243 11,352,730 5,676,365 17,029,096 8,514,548 4,257,274 2,128,637 6,385,912 3,192,956 1,596,478 798,239 2,394,718 1,197,359 3,592,078 1,796,039 5,388,118 2,694,059 8,082,178 4,041,089 12,123,268 6,061,634 3,030,817 9,092,452 4,546,226 2,273,113 6,819,340 3,409,670 1,704,835 5,114,506 2,557,253 7,671,760 3,835,880 1,917,940 958,970 479,485 1,438,456 719,228 359,614 179,807

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