3,633,742

2 × 7³ × 5297

3,633,742 factors as 2 × 7^3 × 5297. Its 16 positive divisors give a proper-divisor sum of 2,723,858, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 5297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,357,600

Proper Divisor Sum 2,723,858

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3633719 ← → #3633743

Radix Representation

Decimal	3633742
Binary	1101110111001001001110 (22 bits)
Octal	0o15671116
Hexadecimal	0x37724E

Divisor Catalog (16)

1 2 7 14 49 98 343 686 5,297 10,594 37,079 74,158 259,553 519,106 1,816,871 3,633,742

Collatz Trajectory (234 steps to reach 1)

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

3,633,742 1,816,871 5,450,614 2,725,307 8,175,922 4,087,961 12,263,884 6,131,942 3,065,971 9,197,914 4,598,957 13,796,872 6,898,436 3,449,218 1,724,609 5,173,828 2,586,914 1,293,457 3,880,372 1,940,186 970,093 2,910,280 1,455,140 727,570 363,785 1,091,356 545,678 272,839 818,518 409,259 1,227,778 613,889 1,841,668 920,834 460,417 1,381,252 690,626 345,313 1,035,940 517,970 258,985 776,956 388,478 194,239 582,718 291,359 874,078 437,039 1,311,118 655,559 1,966,678 983,339 2,950,018 1,475,009 4,425,028 2,212,514 1,106,257 3,318,772 1,659,386 829,693

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